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Heat Transfer in the Plane Couette Flow of a Non‐Newtonian Fluid with Uniform Suction at the Stationary Wall
Author(s) -
Bhatnagar R. K.
Publication year - 1973
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19730530605
Subject(s) - prandtl number , mechanics , suction , herschel–bulkley fluid , heat transfer , newtonian fluid , thermodynamics , non newtonian fluid , eckert number , physics , couette flow , materials science , classical mechanics , flow (mathematics) , nusselt number , reynolds number , turbulence
The paper deals with the discussion of heat transfer phenomenon in the steady flow of a Rivlin‐Ericksen Fluid confined between two plane parallel walls, one of which moves with a constant velocity while the other is held at the rest with a uniform suction applied on it. The solution of the energy equation is provided for the case in which both the walls are maintained at constant temperature, treating the suction parameter to be small. In the presence of suction the temperature distribution for the fluid under consideration differs from that for a classical viscous fluid only when the product of Prandtl and Eckert numbers is non‐zero. The presence of visco‐elasticity results in increasing the temperature in comparison to that for a Newtonian fluid. However, it also increases as the suction parameter increases. Many other interesting results are reported.