Mixed convective heat and mass transfer in a non-Newtonian fluid at a peristaltic surface with temperature-dependent viscosity |
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Authors: | N T M Eldabe M F El-Sayed A Y Ghaly H M Sayed |
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Institution: | (1) Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt |
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Abstract: | We investigate the problem of the unsteady mixed convection peristaltic mechanism. The flow includes a temperature-dependent
viscosity with thermal diffusion and diffusion-thermo effects. The peristaltic flow is between two vertical walls, one of
which is deformed in the shape of traveling transversal waves exactly like peristaltic pumping and the other of which is a
parallel flat plate wall. The equations of momentum, energy, and concentration are subject to a set of appropriate boundary
conditions by assuming that the solution consists of two parts: a mean part and a perturbed part. The solution of the perturbed
part has been obtained by using the long-wave approximation. The mean part has been solved and coincides with the approximation
of Ostrach. The mean part (zeroth order), the first order, and the total solution of the problem have been evaluated numerically
for several sets of values of the parameters entering the problem. The skin friction, and the rate of heat and mass transfer
at the walls are obtained and illustrated graphically. |
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Keywords: | Peristaltic flow Biviscosity fluid Mixed convection Heat and mass transfer Variable viscosity |
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