Exact solution for the conjugate fluid-fluid problem in the thermal entrance region of laminar counterflow heat exchangers

A generalized Lévêque solution is presented for the conjugate fluid–fluid problem that arises in the thermal entrance region of laminar counterflow heat exchangers. The analysis, carried out for constant property fluids, assumes that the Prandtl and Peclet numbers are both large compared to unity, and neglects axial conduction both in the fluids and in the plate, assumed to be thermally thin. Under these conditions, the thermal entrance region admits an asymptotic self-similar description where the temperature varies as a power ϳ of the axial distance, with the particularity that the self-similarity exponent must be determined as an eigenvalue by solving a transcendental equation arising from the requirement of continuity of heat fluxes at the heat conducting wall. Specifically, the analysis reveals that j depends only on the lumped parameter ƙ = (A2/A1)1/3 (α1/α2)1/3(k2/k1), defined in terms of the ratios of the wall velocity gradients, A, thermal diffusivities, α i, and thermal conductivities,k i, of the fluids entering, 1, and exiting, 2, the heat exchanger. Moreover, it is shown that for large (small) values of K solution reduces to the classical first (second) Lévêque solution. Closed-form analytical expressions for the asymptotic temperature distributions and local heat-transfer rate in the thermal entrance region are given and compared with numerical results in the counterflow parallel-plate configuration, showing very good agreement in all cases.

Vista de Valencia tomada de la entrada de la Alameda [Material gráfico] =Vue de Valence prise de l'entrée de l'Alameda = View of Valencia taken from the entrance of the Valencia

Estampado junto a "Vista de Valencia tomada del camino que conduce al Grao"

Vista de la entrada de un convento en la Alameda de Valencia [Material gráfico] =Vue de l'entrée d'un couvent sur la Alameda à Valence=View of the entrance of a convent upon the Alameda at Valencia

Datos de publicación tomados de la obra a la que pertenece

Entrance to Penobscot Bay, Maine, Nautical Chart, 1776 (Image 1 of 2) (Raster Image)

This layer is a georeferenced raster image of the untitled, historic nautical chart: [Entrance to Penobscot Bay] (sheet originally published in 1776). The map is [sheet 38] from the Atlantic Neptune atlas Vol. 3 : Charts of the coast and harbors of New England, from surveys taken by Samuel Holland and published by J.F.W. Des Barres, 1781. Scale [ca. 1:50,000]. This layer is image 1 of 2 total images of the two sheet source map, representing the western portion of the map. Covers a portion of Penobscot Bay, Maine. The image is georeferenced to the surface of the earth and fit to the 'World Mercator' (WGS 84) projected coordinate system. All map collar information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, or other information associated with the principal map. This map shows coastal features such as harbors, inlets, rocks, channels, points, coves, shoals, islands, and more. Includes also selected land features such as cities and towns, and buildings. Relief is shown by hachures; depths by soundings. This layer is part of a selection of digitally scanned and georeferenced historic maps from The Harvard Map Collection. The entire Atlantic Neptune atlas Vol. 3 : Charts of the coast and harbors of New England has been scanned and georeferenced as part of this selection.

Entrance to Penobscot Bay, Maine, Nautical Chart, 1776 (Image 2 of 2) (Raster Image)

This layer is a georeferenced raster image of the untitled, historic nautical chart: [Entrance to Penobscot Bay] (sheet originally published in 1776). The map is [sheet 39] from the Atlantic Neptune atlas Vol. 3 : Charts of the coast and harbors of New England, from surveys taken by Samuel Holland and published by J.F.W. Des Barres, 1781. Scale [ca. 1:50,000]. This layer is image 2 of 2 total images of the two sheet source map, representing the eastern portion of the map. Covers a portion of Penobscot Bay, Maine. The image is georeferenced to the surface of the earth and fit to the 'World Mercator' (WGS 84) projected coordinate system. All map collar information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, or other information associated with the principal map. This map shows coastal features such as harbors, inlets, rocks, channels, points, coves, shoals, islands, and more. Includes also selected land features such as cities and towns, and buildings. Relief is shown by hachures; depths by soundings. This layer is part of a selection of digitally scanned and georeferenced historic maps from The Harvard Map Collection. The entire Atlantic Neptune atlas Vol. 3 : Charts of the coast and harbors of New England has been scanned and georeferenced as part of this selection.

DVD-based distance-learning program for university entrance exams -- RCT experiments in rural Bangladesh

In contrast to the remarkable progress in developing countries in improving primary education, access to higher education in many countries remains limited, especially in rural areas where the quality of education is inadequate. We evaluate a DVD-based distance-learning program in rural Bangladesh, targeted at students aiming to take university entrance tests. We conducted two experiments: one to evaluate the effect of the distance-learning program and the second to determine the demand and price sensitivity. Our first experiment shows that the DVD-based distance-learning program has a considerable positive effect on the number of students passing entrance exams. This effect does not depend on cognitive scores, but does depend on non-cognitive attributes, indicating the importance of commitment, which is imposed through our program. In the second experiment, we offered a random subsidy to interested participants. The uptake decision is price-sensitive, although the price sensitivity is not correlated with students' past academic performance or their socio-economic status, suggesting that increasing the price should not disproportionately exclude poor students.