Abstract
In the present note the temperature distribution in a laminar plane wall jet has been studied. It is found that a similarity solution of the energy equation exists. The resulting ordinary differential equation is reduced to a hypergeometric equation by a suitable transformation of the similarity variable and the solution, for arbitrary values of the Prandtl number, is obtained. It is concluded that the heat transfer at the wall at a given section and the product of volume and heat-flux through any cross-section of the boundary layer increase with the increase in the value of Prandtl number respectively.
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References
Schlichting, H.,Laminare Strahlenausbreitung.ZAAM 13 260–263 (1933).
Bickley, W., The plane jet.Phil. Mag. Ser. 723 727–731 (1939).
Bansal, J. L., On the temperature distribution in a plane jet.ZAMM 54 279–281 (1974).
Bansal, J. L., Jets of conductive fluids in the presence of a transverse magnetic field.ZAMM (communicated).
Yih, C. S.,J. of Appl. Mech. 17 381–382 (1950).
Akatnow, N. I., Die Ausbreitung eines ebenen laminaren Flussigkeitstrahls längs einer festen Wand.Trudy Leningr. Polytechn. Inst. Maschgis. Nr. 5 24–31 (1953).
Glauert, M. B., The wall jet.JFM 1 6, 625–643 (1956).
Loitsianski, L. G.,Laminare Grenzschichten, Akademie-Verlag, Berlin (1967).
Sneddon, I. N.,Special Functions of Mathematical Physics and Chemistry Oliver and Boyd p. 47 (1961).
Sokolnikoff I. S.Advanced Calculus. International Student Edition (1939).
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Bansal, J.L., Tak, S.S. Temperature distribution in a laminar plane wall jet. Proc. Indian Acad. Sci. 83, 1–10 (1976). https://doi.org/10.1007/BF03051186
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DOI: https://doi.org/10.1007/BF03051186