Heat transfer in plane Couette flow with additional pressure gradient including entrance effects for a non-Newtonian fluid

AIChE Journal ◽  
1978 ◽  
Vol 24 (6) ◽  
pp. 1108-1112 ◽  
Author(s):  
Essam M. Mitwally
Keyword(s):  
Heat Transfer ◽  
Pressure Gradient ◽  
Couette Flow ◽  
Newtonian Fluid ◽  
Plane Couette Flow ◽  
Additional Pressure

A Numerical Solution of Entrance Region Heat Transfer in Plane Couette Flow

1976 ◽  
Vol 98 (3) ◽  
pp. 427-431 ◽  
Author(s):  
A. S. El-Ariny ◽  
A. Aziz
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Pressure Gradient ◽  
Couette Flow ◽  
Viscous Dissipation ◽  
Numerical Procedure ◽  
Entrance Region ◽  
Plane Couette Flow ◽  
Fixed Temperature ◽  
Additional Pressure

A numerical procedure has been developed to solve the problem of entrance region heat transfer in steady, plane Couette flow of an incompressible viscous fluid. The formulation includes the effects of additional pressure gradient and viscous dissipation. The analysis leads to an eigenvalue problem which is solved numerically by an adaptation of Rutishauser technique. Numerical results are presented for two sets of boundary conditions: (i) fixed but different temperatures at the lower and upper plates and (ii) fixed temperature at the lower plate and zero flux at the upper plate. The effects of additional pressure gradient and viscous dissipation on the spatial development of temperature profile and Nusselt number are shown. For (i), Bruin neglected viscous dissipation and obtained an analytical solution of the energy equation. However, due to the difficulty in computing higher eigenvalues, the solution was truncated to a few terms. Besides avoiding this difficulty, the present approach offers computational simplicity and yields highly accurate results. A comparison of present results with those of Bruin shows that the latter are significantly in error. To confirm the accuracy of the numerical procedure, the method is tested for slug flow model which admits simple analytical solution. Excellent agreement is exhibited between numerical and analytical results throughout the entrance region.

DNS OF TURBULENT HEAT TRANSFER IN PLANE COUETTE FLOW

Equipment ◽  
2006 ◽  
Author(s):  
S. Hane ◽  
T. Tsukahara ◽  
K. Iwamoto ◽  
H. Kawamura
Keyword(s):  
Heat Transfer ◽  
Couette Flow ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat ◽  
Plane Couette Flow

scholarly journals Theoretical Study of Heat Transfer on Peristaltic Transport of Non-Newtonian Fluid Flowing in a Channel: Rabinowitsch Fluid Model

2018 ◽  
Vol 3 (4) ◽  
pp. 450-471 ◽  
Author(s):  
U. P. Singh ◽  
Amit Medhavi ◽  
R. S. Gupta ◽  
Siddharth Shankar Bhatt
Keyword(s):  
Heat Transfer ◽  
Pressure Gradient ◽  
Friction Force ◽  
Newtonian Fluid ◽  
Theoretical Study ◽  
Fluid Model ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Long Wavelength ◽  
Velocity Pressure

The present investigation is concerned with the problem of heat transfer and peristaltic flow of non-Newtonian fluid using Rabinowitsch fluid model through a channel under long wavelength and low Reynolds number approximation. Expressions for velocity, pressure gradient, pressure rise, friction force and temperature have been obtained. The effect of different parameters on velocity, pressure gradient, pressure rise, streamlines, friction force and temperature have been discussed through graphs.

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