Abstract
This paper is employed to discuss the effects of the magnetic field and heat transfer on the peristaltic flow of Rabinowitsch fluid through a porous medium in the cilia channel. The governing equations (mass, motion, and energy) are formulated and then the assumptions of long wavelength and low Reynold number are used for simplification. The velocity field, pressure gradient, temperature, and streamlines are obtained when the perturbation technique is applied to solve the nonlinear partial differential equations. The study shows that the velocity is decreased with increasing Hartmann number while it is decreased with increasing the porosity.
Highlights
Fluid transmission in the form of a metachronal wave is called a peristaltic transmission
The Rabinowitsch fluid model has the characteristics of pseudoplastic fluids, known as shear-thinning fluids such as blood, Ketchup, and whipped cream
We have considered a porous medium and assumed that is a magnetic field
Summary
Fluid transmission in the form of a metachronal wave is called a peristaltic transmission It is an important phenomenon in the transport of fluids to many organs, as in the motion of food in the esophagus during the swallowing, blood flow from the heart to all over the body, transport of the urine from the kidney to bladder, and in industrial and biological tools, such as heart-lung machines. Scientists have tried very hard to enhance the efficiency of stability specifications of non-Newtonian lubricants The viscosity of this model indicates a nonlinear relationship between the shearing stress and shearing strain rate. Akbar [4] presented studies in the Rabinowitsch fluid under the effect heat transfer in a circular tube. We discuss the effects of the magnetic field, heat transfer and porous medium on incompressible laminar flow for non-Newtonian Rabinowitsch fluid in a circular channel when the inner of which is ciliated.
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