Transient prenatal vitamin D deficiency is associated with hyperlocomotion in adult rats

Rat experiments have shown that prenatal Vitamin D deficiency leads to altered neonatal brain morphology, cell density and neurotrophin expression. In the current study we examined the hypothesis that Vitamin D deficiency during early development alters adult behaviour even when there is an intervening period in which the animal receives normal Vitamin D in later development. Rats were conceived and born to Vitamin D deficient dams (Birth); conceived, born and weaned from Vitamin D deficient dams (Weaning); or deficient in Vitamin D from conception to 10 weeks of age (Life). Litters were standardized to three males and three females per litter. All rat offspring were rendered normocalcaemic with calcium supplemented water (2 mM) after weaning. Control animals were born to mothers fed a normal diet but subject to similar litter size and calcium supplementation. At 10 weeks all animals were tested on the holeboard test, elevated plus maze test, social interaction observation, acoustic startle response test, prepulse inhibition of the acoustic startle response and a forced swim test. Early Vitamin D deficiency (Birth group) enhanced locomotion in the holeboard test and increased activity in the elevated plus maze. Thus, transient prenatal Vitamin D deficiency induces hyperlocomotion in adulthood, without severe motor abnormalities. (C) 2004 Elsevier B.V. All rights reserved.

Swimming behaviour and post-swimming activity in Vitamin D receptor knockout mice

Animal experiments have shown that Vitamin D plays a role in both brain development and adult brain function. The adult Vitamin D receptor null mutant mouse (VDR -/-) is reported to be less active and more anxious than wild-type litter mate controls and to have poor swimming ability. However, an anxious behavioural phenotype is inferred from differences in locomotor behaviour. This is a general problem in behavioural phenotyping where a neurological phenotype is inferred from changes in locomotion which will be affected by non-neurological factors, such as muscle fatigue. In this study of VDR -/-, we conducted a detailed examination of one form of motor behaviour, swimming, compared to wildtype littermate controls. Swimming was assessed using a forced swim test, a laneway swimming test and a watermaze test using a visible platform. Post-swimming activity was assessed by comparing grooming and rearing behaviour before, and 5 min after, the forced swimming test. We replicated previous findings in which VDR -/- mice demonstrate more sinking episodes than wildtype controls in the forced swim test but they were similar to controls in the time taken to swim a 1 m laneway, and in the time taken to reach a visible platform in the watermaze. Thus, the VDR -/- mice were able to swim but were not able to float. Grooming and rearing behaviour of the VDR -/- mice was similar to wildtype controls before the forced swim but the VDR -/- were much less active after the swim compared with wildtype mice which displayed high levels of grooming and rearing. We conclude that VDR -/- mice have muscular and motor impairments that do not affect their ability to swim but significantly alters the ability to float as well as their post-swimming activity. Differences in muscle strength may confound tests of activity that are used to infer an anxious phenotype. (c) 2005 Elsevier Inc. All rights reserved.

Efeitos in vivo e in vitro de agonistas parciais do receptor NOP: implicações para o tratamento da ansiedade, depressão e mania

Introduction: This study aimed to investigate the effects of the two peptide NOP partial agonists (UFP-113 and [F/G]N/OFQ(1-13)NH2) and the non peptide NOP partial agonist (AT-090) in the mouse emotional behavior as well as in the intracellular transduction pathways following the receptor binding. Methods: Male Swiss or CD-1 mice were used in this study together with NOP(+/+) and NOP(-/-) mice. The elevated plus maze (EPM) was used to evaluate the effects of compounds on anxiety-like behaviors. Diazepam and the NOP agonists, N/OFQ and Ro 65-6570, were used as positive controls in the EPM. NOP(+/+) and NOP(-/-) mice were used to evaluate the selectivity of those compounds that induced anxiolytic-like behaviors. The forced swim test (FST) was used to evaluate the effects of compounds on depressive-like behaviors. Nortriptyline and the NOP antagonists, UFP-101 and SB-612111, were used as positive controls in the FST. The effects of N/OFQ, UFP-101, SB-612111, UFP-113, [F/G]N/OFQ(1-13)NH2, and AT-090 were assessed in the methylphenidate-induced hyperlocomotion (MIH) test; in this assay valproate was used as positive control. The G protein and β-arrestin 2 transduction pathways of NOP receptor agonists (N/OFQ and Ro 65-6570), antagonist (UFP-101), and partial agonists (UFP-113, [F/G]N/OFQ(1-13)NH2, and AT-090) were also evaluated using an innovative assay that measures a bioluminescence resonance energy transfer process. For this, cell lines permanently co-expressing the NOP receptor coupled to luciferase (energy donor), and green fluorescent protein (energy acceptor) coupled to one of the effector proteins (G protein or β-arrestin 2) were used. Results: Diazepam (1 mg/kg), N/OFQ (1 nmol), Ro 65-6570 (0.1 mg/kg), and AT-090 (0.01 mg/kg) induced anxiolytic-like effect in mice in the EPM. The effects of Ro 65-6570 and AT-090 were selective to NOP receptor. UFP-113 (0.01-1 nmol) and [F/G]N/OFQ(1-13)NH2 (0.1-3 nmol) were inactive in the EPM. In the FST, nortriptyline (30 mg/kg), UFP-101 (10 nmol), SB-612111 (10 mg/kg), UFP-113 (0.01 and 0.1 nmol), and [F/G]N/OFQ(1-13)NH2 (0.3 and 1 nmol) induced antidepressant-like effects, while AT-090 (0.001-0.1 mg/kg) was inactive in this assay. The effects of UFP-113 and [F/G]N/OFQ(1-13)NH2 were selective to NOP receptor. Valproate (400 mg/kg) counteracted methylphenidate (MPH, 10 mg/kg)-induced hyperlocomotion in mice in the open field. N/OFQ (1 nmol), UFP-113 (0.01-0.1 nmol), and [F/G]N/OFQ(1-13)NH2 (1 nmol) were also able to reduce the MPH-induced hyperlocomotion, without changing the locomotor activity per se. The effect of UFP-113 was selective to NOP receptor. The UFP-101 (10 nmol), SB-612111 (10 mg/kg), and AT-090 (0.001-0.03 mg/kg) did not change the hyperlocomotor effect of methylphenidate. In vitro, N/OFQ and Ro 65-6570 behaved as NOP full agonists for G-protein and β-arrestin 2 pathways. AT-090 behaved as NOP receptor partial agonist for both transduction pathways, while UFP-113 and [F/G]N/OFQ(1-13)NH2 behaved as partial agonists and antagonists of NOP receptor for NOP/G protein and NOP/β-arrestin 2, respectively. UFP-101 behaved as NOP receptor antagonist for both transduction pathways. Conclusion: NOP ligands producing same effects on NOP/G protein interaction (partial agonism), but with opposite effects on β-arrestin 2 recruitment (partial agonism vs antagonism), can promote different in vivo effects on anxiety and mood as it was observed in the behavioral tests. This work corroborates the potential of NOP receptor as an innovative pharmacological target for the treatment of emotional disorders.

Efeitos in vivo e in vitro de agonistas parciais do receptor NOP: implicações para o tratamento da ansiedade, depressão e mania

Introduction: This study aimed to investigate the effects of the two peptide NOP partial agonists (UFP-113 and [F/G]N/OFQ(1-13)NH2) and the non peptide NOP partial agonist (AT-090) in the mouse emotional behavior as well as in the intracellular transduction pathways following the receptor binding. Methods: Male Swiss or CD-1 mice were used in this study together with NOP(+/+) and NOP(-/-) mice. The elevated plus maze (EPM) was used to evaluate the effects of compounds on anxiety-like behaviors. Diazepam and the NOP agonists, N/OFQ and Ro 65-6570, were used as positive controls in the EPM. NOP(+/+) and NOP(-/-) mice were used to evaluate the selectivity of those compounds that induced anxiolytic-like behaviors. The forced swim test (FST) was used to evaluate the effects of compounds on depressive-like behaviors. Nortriptyline and the NOP antagonists, UFP-101 and SB-612111, were used as positive controls in the FST. The effects of N/OFQ, UFP-101, SB-612111, UFP-113, [F/G]N/OFQ(1-13)NH2, and AT-090 were assessed in the methylphenidate-induced hyperlocomotion (MIH) test; in this assay valproate was used as positive control. The G protein and β-arrestin 2 transduction pathways of NOP receptor agonists (N/OFQ and Ro 65-6570), antagonist (UFP-101), and partial agonists (UFP-113, [F/G]N/OFQ(1-13)NH2, and AT-090) were also evaluated using an innovative assay that measures a bioluminescence resonance energy transfer process. For this, cell lines permanently co-expressing the NOP receptor coupled to luciferase (energy donor), and green fluorescent protein (energy acceptor) coupled to one of the effector proteins (G protein or β-arrestin 2) were used. Results: Diazepam (1 mg/kg), N/OFQ (1 nmol), Ro 65-6570 (0.1 mg/kg), and AT-090 (0.01 mg/kg) induced anxiolytic-like effect in mice in the EPM. The effects of Ro 65-6570 and AT-090 were selective to NOP receptor. UFP-113 (0.01-1 nmol) and [F/G]N/OFQ(1-13)NH2 (0.1-3 nmol) were inactive in the EPM. In the FST, nortriptyline (30 mg/kg), UFP-101 (10 nmol), SB-612111 (10 mg/kg), UFP-113 (0.01 and 0.1 nmol), and [F/G]N/OFQ(1-13)NH2 (0.3 and 1 nmol) induced antidepressant-like effects, while AT-090 (0.001-0.1 mg/kg) was inactive in this assay. The effects of UFP-113 and [F/G]N/OFQ(1-13)NH2 were selective to NOP receptor. Valproate (400 mg/kg) counteracted methylphenidate (MPH, 10 mg/kg)-induced hyperlocomotion in mice in the open field. N/OFQ (1 nmol), UFP-113 (0.01-0.1 nmol), and [F/G]N/OFQ(1-13)NH2 (1 nmol) were also able to reduce the MPH-induced hyperlocomotion, without changing the locomotor activity per se. The effect of UFP-113 was selective to NOP receptor. The UFP-101 (10 nmol), SB-612111 (10 mg/kg), and AT-090 (0.001-0.03 mg/kg) did not change the hyperlocomotor effect of methylphenidate. In vitro, N/OFQ and Ro 65-6570 behaved as NOP full agonists for G-protein and β-arrestin 2 pathways. AT-090 behaved as NOP receptor partial agonist for both transduction pathways, while UFP-113 and [F/G]N/OFQ(1-13)NH2 behaved as partial agonists and antagonists of NOP receptor for NOP/G protein and NOP/β-arrestin 2, respectively. UFP-101 behaved as NOP receptor antagonist for both transduction pathways. Conclusion: NOP ligands producing same effects on NOP/G protein interaction (partial agonism), but with opposite effects on β-arrestin 2 recruitment (partial agonism vs antagonism), can promote different in vivo effects on anxiety and mood as it was observed in the behavioral tests. This work corroborates the potential of NOP receptor as an innovative pharmacological target for the treatment of emotional disorders.

Avaliação de duas variedades de Passiflora edulis sobre as respostas comportamentais de camundongos e um possível mecanismo de ação

The medicinal plants constitute a rich source of biologically active compounds used for the treatment of many psychiatric disorders, such as anxiety disorders and depression. Generalized anxiety disorder has increased significantly, being the second most prevalent disorder in care facilities to public health. Depression is considered a chronic and common psychiatric disorder that affects 350 million people of all ages around the world. In this context, the pharmacological intervention conduits have been employed, effective, although leave to be desired when observed adverse effects. The genus Passiflora is commonly commercially known by its fruit, but is also widely used in traditional Brazilian medicine. Passiflora edulis displays considerable morphological variability. This plant produces two types of fruit: Purple (Passiflora edulis Sims fo. edulis) and yellow (Passiflora edulis fo. flavicarpa Degener). This study investigated the central effects of aqueous extract of the leaves of the two varieties of the species Passiflora edulis in tests used to assess behavior related to anxiety and depression, as well as investigating the potential effect of the antidepressant-like fractions of edulis fo. edulis and neuropharmacological mechanisms responsible for this action. To conduct this study used male Swiss mice (2 months old, weighing 30-35 g). The animals received the aqueous extract of the leaves of the two species of Passiflora: edulis fo. edulis (100, 300, 1000 mg / kg) and fractions ethyl acetate, butanol and aqueous waste (25, 50, 75, 100 mg / kg) and edulis fo. flavicarpa (30, 100, 300, 1000 mg / kg) or saline by gavage 60 minutes prior to the maze tests at high cross the open field test, test forced swim test and sedation induced by thiopental. To investigate the mechanism of action of the activity of antidepressant type of fractions the following drugs were used: PCPA (inhibitor of 5-HT synthesis) AMPT (inhibitor of catecholamine synthesis), DSP-4 (noradrenergic neurotoxin) and Sulpiride (antagonist selective dopamine D2 receptor). They were used as a standard positive control, fluoxetine and nortriptyline. The results of the phytochemical profile show very different characteristics to the aqueous extract of the varieties of Passiflora edulis "flavicarpa" and "edulis". The aqueous extracts of both varieties of Passiflora edulis share anxiolytic activity type (edulis fo. edulis 300 mg/kg; edulis fo. flavicarpa 300 and 1000 mg/kg) and antidepressant (edulis fo. edulis 300 mg/kg; edulis fo flavicarpa 1000 mg/kg), while the effect hipolocomotor/sedative was only seen for edulis fo. edulis (1000 mg/kg). Both fractions ethyl acetate, butanol aqueous extract edulis fo. edulis showed activity type antidepressant at a dose of 50 mg/kg in the forced swim test. The data suggest that the effect of antidepressant-like fractions edulis fo. edulis involves catecholaminergic and serotonergic neurotransmission, particularly dopaminergic, there is seen that pre-treatment DSP-4 is not affected antidepressant action of fractions as was dependent activation of dopamine D2 receptors.

Avaliação de duas variedades de Passiflora edulis sobre as respostas comportamentais de camundongos e um possível mecanismo de ação

The medicinal plants constitute a rich source of biologically active compounds used for the treatment of many psychiatric disorders, such as anxiety disorders and depression. Generalized anxiety disorder has increased significantly, being the second most prevalent disorder in care facilities to public health. Depression is considered a chronic and common psychiatric disorder that affects 350 million people of all ages around the world. In this context, the pharmacological intervention conduits have been employed, effective, although leave to be desired when observed adverse effects. The genus Passiflora is commonly commercially known by its fruit, but is also widely used in traditional Brazilian medicine. Passiflora edulis displays considerable morphological variability. This plant produces two types of fruit: Purple (Passiflora edulis Sims fo. edulis) and yellow (Passiflora edulis fo. flavicarpa Degener). This study investigated the central effects of aqueous extract of the leaves of the two varieties of the species Passiflora edulis in tests used to assess behavior related to anxiety and depression, as well as investigating the potential effect of the antidepressant-like fractions of edulis fo. edulis and neuropharmacological mechanisms responsible for this action. To conduct this study used male Swiss mice (2 months old, weighing 30-35 g). The animals received the aqueous extract of the leaves of the two species of Passiflora: edulis fo. edulis (100, 300, 1000 mg / kg) and fractions ethyl acetate, butanol and aqueous waste (25, 50, 75, 100 mg / kg) and edulis fo. flavicarpa (30, 100, 300, 1000 mg / kg) or saline by gavage 60 minutes prior to the maze tests at high cross the open field test, test forced swim test and sedation induced by thiopental. To investigate the mechanism of action of the activity of antidepressant type of fractions the following drugs were used: PCPA (inhibitor of 5-HT synthesis) AMPT (inhibitor of catecholamine synthesis), DSP-4 (noradrenergic neurotoxin) and Sulpiride (antagonist selective dopamine D2 receptor). They were used as a standard positive control, fluoxetine and nortriptyline. The results of the phytochemical profile show very different characteristics to the aqueous extract of the varieties of Passiflora edulis "flavicarpa" and "edulis". The aqueous extracts of both varieties of Passiflora edulis share anxiolytic activity type (edulis fo. edulis 300 mg/kg; edulis fo. flavicarpa 300 and 1000 mg/kg) and antidepressant (edulis fo. edulis 300 mg/kg; edulis fo flavicarpa 1000 mg/kg), while the effect hipolocomotor/sedative was only seen for edulis fo. edulis (1000 mg/kg). Both fractions ethyl acetate, butanol aqueous extract edulis fo. edulis showed activity type antidepressant at a dose of 50 mg/kg in the forced swim test. The data suggest that the effect of antidepressant-like fractions edulis fo. edulis involves catecholaminergic and serotonergic neurotransmission, particularly dopaminergic, there is seen that pre-treatment DSP-4 is not affected antidepressant action of fractions as was dependent activation of dopamine D2 receptors.

Behavioural alterations are independent of sickness behaviour in chronic experimental Chagas disease

The existence of the nervous form of Chagas disease is a matter of discussion since Carlos Chagas described neurological disorders, learning and behavioural alterations in Trypanosoma cruzi-infected individuals. In most patients, the clinical manifestations of the acute phase, including neurological abnormalities, resolve spontaneously without apparent consequence in the chronic phase of infection. However, chronic Chagas disease patients have behavioural changes such as psychomotor alterations, attention and memory deficits, and depression. In the present study, we tested whether or not behavioural alterations are reproducible in experimental models. We show that C57BL/6 mice chronically infected with the Colombian strain of T. cruzi (150 days post-infection) exhibit behavioural changes as (i) depression in the tail suspension and forced swim tests, (ii) anxiety analysed by elevated plus maze and open field test sand and (iii) motor coordination in the rotarod test. These alterations are neither associated with neuromuscular disorders assessed by the grip strength test nor with sickness behaviour analysed by temperature variation sand weight loss. Therefore, chronically T. cruzi-infected mice replicate behavioural alterations (depression and anxiety) detected in Chagas disease patients opening an opportunity to study the interconnection and the physiopathology of these two biological processes in an infectious scenario.

Behavioural and neurochemical consequences of chronic gut microbiota depletion during adulthood in the rat

Gut microbiota colonization is a key event for host physiology that occurs early in life. Disruption of this process leads to altered brain development which ultimately manifests as changes in brain function and behaviour in adulthood. Studies using germ-free mice highlight the extreme impact on brain health that results from life without commensal microbes, however the impact of microbiota disturbances occurring in adulthood is less studied. To this end, we depleted the gut microbiota of 10-week-old male Sprague Dawley rats via chronic antibiotic treatment. Following this marked, sustained depletion of the gut bacteria, we investigated behavioural and molecular hallmarks of gut-brain communication. Our results reveal that depletion of the gut microbiota during adulthood results in deficits in spatial memory as tested by Morris water maze, increased visceral sensitivity and a greater display of depressive-like behaviours in the forced swim test. In tandem with these clear behavioural alterations we found change in altered CNS serotonin concentration along with changes in the mRNA levels of corticotrophin releasing hormone receptor 1 and glucocorticoid receptor. Additionally, we found changes in the expression of BDNF, a hallmark of altered microbiota-gut-brain axis signaling. In summary, this model of antibiotic-induced depletion of the gut microbiota can be used for future studies interested in the impact of the gut microbiota on host health without the confounding developmental influence of early-life microbial alterations.

Fertility of male adult rats submitted to forced swimming stress

We investigated whether stress interferes with fertility during adulthood. Male Wistar rats (weighing 220 g in the beginning of the experiment) were forced to swim for 3 min in water at 32ºC daily for 15 days. Stress was assessed by the hot-plate test after the last stressing session. To assess fertility, control and stressed males (N = 15 per group) were mated with sexually mature normal females. Males were sacrificed after copulation. Stress caused by forced swimming was demonstrated by a significant increase in the latency of the pain response in the hot-plate test (14.6 ± 1.25 s for control males vs 26.0 ± 1.53 s for stressed males, P = 0.0004). No changes were observed in body weight, testicular weight, seminal vesicle weight, ventral prostate weight or gross histological features of the testes of stressed males. Similarly, no changes were observed in fertility rate, measured by counting live fetuses in the uterus of normal females mated with control and stressed males; no dead or incompletely developed fetuses were observed in the uterus of either group. In contrast, there was a statistically significant decrease in spermatid production demonstrated by histometric evaluation (154.96 ± 5.41 vs 127.02 ± 3.95 spermatids per tubular section for control and stressed rats, respectively, P = 0.001). These data demonstrate that 15 days of forced swimming stress applied to adult male rats did not impair fertility, but significantly decreased spermatid production. This suggests that the effect of stress on fertility should not be assessed before at least the time required for one cycle of spermatogenesis.

Fertility of male adult rats submitted to forced swimming stress

We investigated whether stress interferes with fertility during adulthood. Male Wistar rats (weighing 220 g in the beginning of the experiment) were forced to swim for 3 min in water at 32ºC daily for 15 days. Stress was assessed by the hot-plate test after the last stressing session. To assess fertility, control and stressed males (N = 15 per group) were mated with sexually mature normal females. Males were sacrificed after copulation. Stress caused by forced swimming was demonstrated by a significant increase in the latency of the pain response in the hot-plate test (14.6 ± 1.25 s for control males vs 26.0 ± 1.53 s for stressed males, P = 0.0004). No changes were observed in body weight, testicular weight, seminal vesicle weight, ventral prostate weight or gross histological features of the testes of stressed males. Similarly, no changes were observed in fertility rate, measured by counting live fetuses in the uterus of normal females mated with control and stressed males; no dead or incompletely developed fetuses were observed in the uterus of either group. In contrast, there was a statistically significant decrease in spermatid production demonstrated by histometric evaluation (154.96 ± 5.41 vs 127.02 ± 3.95 spermatids per tubular section for control and stressed rats, respectively, P = 0.001). These data demonstrate that 15 days of forced swimming stress applied to adult male rats did not impair fertility, but significantly decreased spermatid production. This suggests that the effect of stress on fertility should not be assessed before at least the time required for one cycle of spermatogenesis.

Forced convection to laminar flow of liquid egg yolk in circular and annular ducts

The steady-state heat transfer in laminar flow of liquid egg yolk - an important pseudoplastic fluid food - in circular and concentric annular ducts was experimentally investigated. The average convection heat transfer coefficients, determined by measuring temperatures before and after heating sections with constant temperatures at the tube wall, were used to obtain simple new empirical expressions to estimate the Nusselt numbers for fully established flows at the thermal entrance of the considered geometries. The comparisons with existing correlations for Newtonian and non-Newtonian fluids resulted in excellent agreement. The main contribution of this work is to supply practical and easily applicable correlations, which are, especially for the case of annulus, rather scarce and extensively required in the design of heat transfer operations dealing with similar shear-thinning products. In addition, the experimental results may support existing theoretical analyses.

Acute reversible inactivation of the bed nucleus of stria terminalis induces antidepressant-like effect in the rat forced swimming test

Background: The bed nucleus of stria terminalis (BNST) is a limbic forebrain structure involved in hypothalamo-pituitary-adrenal axis regulation and stress adaptation. Inappropriate adaptation to stress is thought to compromise the organism's coping mechanisms, which have been implicated in the neurobiology of depression. However, the studies aimed at investigating BNST involvement in depression pathophysiology have yielded contradictory results. Therefore, the objective of the present study was to investigate the effects of temporary acute inactivation of synaptic transmission in the BNST by local microinjection of cobalt chloride (CoCl(2)) in rats subjected to the forced swimming test (FST). Methods: Rats implanted with cannulae aimed at the BNST were submitted to 15 min of forced swimming (pretest). Twenty- four hours later immobility time was registered in a new 5 min forced swimming session (test). Independent groups of rats received bilateral microinjections of CoCl(2) (1 mM/100 nL) before or immediately after pretest or before the test session. Additional groups received the same treatment and were submitted to the open field test to control for unspecific effects on locomotor behavior. Results: CoCl(2) injection into the BNST before either the pretest or test sessions reduced immobility in the FST, suggesting an antidepressant-like effect. No significant effect of CoCl(2) was observed when it was injected into the BNST immediately after pretest. In addition, no effect of BNST inactivation was observed in the open field test. Conclusion: These results suggest that acute reversible inactivation of synaptic transmission in the BNST facilitates adaptation to stress and induces antidepressant-like effects.

Magnetic losses evolution of a semi-processed steel during forced aging treatments

An ultra-low carbon steel (30 ppm after decarburization) containing Al and Si was aged for distinct soaking times at 210 degrees C. The core loss increased continuously until around 24 h. After that, only slight changes were verified. It was found that only the hysteresis loss component changed during the aging treatment. By internal friction test and transmission electron microscopy it was seen that carbon precipitation caused the magnetic aging. By scanning electron microscopy it could be concluded that the increase of aging index was attributed to the high number of carbides larger than 0.1 mu m. (C) 2008 Elsevier B. V. All rights reserved.

Heat transfer and entropy generation optimization of forced convection in a porous-saturated duct of rectangular cross-section

We investigate analytically the first and the second law characteristics of fully developed forced convection inside a porous-saturated duct of rectangular cross-section. The Darcy-Brinkman flow model is employed. Three different types of thermal boundary conditions are examined. Expressions for the Nusselt number, the Bejan number, and the dimensionless entropy generation rate are presented in terms of the system parameters. The conclusions of this analytical study will make it possible to compare, evaluate, and optimize alternative rectangular duct design options in terms of heat transfer, pressure drop, and entropy generation. (c) 2006 Elsevier Ltd. All rights reserved.

Analytical solution of forced convection in a duct of rectangular cross-section saturated by a porous medium

A theoretical analysis is presented to investigate fully developed (both thermally and hydrodynamically) forced convection in a duct of rectangular cross-section filled with a hyper-porous medium. The Darcy-Brinkman model for flow through porous media was adopted in the present analysis. A Fourier series type solution is applied to obtain the exact velocity and temperature distribution within the duct. The case of uniform heat flux on the walls, i.e. the H boundary condition in the terminology of Kays and Crawford [1], is treated. Values of the Nusselt number and the friction factor as a function of the aspect ratio, the Darcy number, and the viscosity ratio are reported.