Abstract
This paper describes the combined effect of heat and mass transfer on two dimensional peristaltic transport of a couple stress fluid in the presence of heat absorption in a inclined asymmetric channel. The fluid is electrically conducting through a porous medium in the presence of uniform magnetic field. Chemical reaction effect is included in the mathematical model. The systems of governing PDEs are solved analytically. The analytical solution is carried out under long wave length approximation. The solutions are obtained for the primary velocity of the fluid, pressure gradient, temperature and concentration of the fluid. The flow is found in the wave frame of reference moving with a velocity of the wave. The expression for average rise in pressure and frictional force and heat transfer coefficient are calculated by numerical integration and analyzed for various parameters by plotting the graphs and discussed in detail.
Highlights
Peristalsis, a fundamental property of all parts of the tubular gut, is responsible for the propulsion of gastrointestinal contents along the gastrointestinal tract
The fluid is electrically conducting through a porous medium in the presence of uniform magnetic field
Where ρ is the density of the fluid, μ is the coefficient of viscosity, U,V are the velocities in X and Y directions in the frame of reference, P is the pressure in fixed frame, k0 is the permeability of the porous medium, g is the gravitational acceleration, T is the temperature of the fluid, βt is the thermal expansion coefficient, βc is the concentration expansion coefficient, η is the constant associated with couple stress, σ∗ is the electric conductivity coefficient, B0 is the transverse magnetic field, K is the thermal conductivity, Dm is the mass diffusivity coefficient, K1 is the first order chemical reaction rate, Cp is the specific heat at the constant pressure, Q0 is the constant heat addition/absorption
Summary
Peristalsis, a fundamental property of all parts of the tubular gut, is responsible for the propulsion of gastrointestinal contents along the gastrointestinal tract. Siva and Govindarajan [21] discussed MHD peristaltic motion under the influence of heat/mass transfer with chemical reaction through a porous medium in an asymmetric channel. The effects of heat and mass transfer on the peristaltic transport of MHD couple stress fluid through porous medium in a vertical asymmetric channel. As far as our knowledge goes, the combined effect of heat and mass transfer on two dimensional peristaltic transport of a couple stress fluid in the presence of heat absorption in a inclined asymmetric channel has not been studied before. The main aim of this study is to construct a mathematical model to examine effect of heat and mass transfer on two dimensional peristaltic transport of a couple stress fluid in the presence of heat absorption in a inclined asymmetric channel. Numerical calculations are carried for pressure rise, frictional force and heat transfer coefficient are analyzed by plotting the graphs and discussed in detail
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