In the present paper, we discussed the influence of heat and mass transfer on peristaltic transport of viscoplastic fluid in presence of magnetic field through symmetric channel with porous medium. The constitutive equation of Bingham plastic model is chosen to describe viscoplastic material. The nonlinear partial differential equations that described the motion of flow are simplified under assumptions of low Reynolds number and long wavelength. These equations are solved by mean of the regular perturbation method which is restricted to the smaller values of Bingham and Grashof numbers. Series solution for the axial velocity, temperature and concentration distribution have been computed. The flow quantities have been illustrated graphically for different interesting parameters. The pressure rise and trapping phenomena are also examined graphically. MATHEMATICA software is used to plot all figures.
The peristaltic transport of power-law fluid in an elastic tapered tube with variable cross-section induced by dilating peristaltic wave is studied. The exact solution of the expression for axial velocity, radial velocity, stream function, local shear stress, volume of flow rate and pressure gradient are obtained under the assumption of long wavelength and low Reynolds number. The effects of all parameters that appear in the problem are analyzed through graphs. The results showed that the flux is sinusoidal in nature and it is an increasing function with the increase of whereas it is a decreasing function with the increase of . An opposite behavior for shear strain is noticed compared to pressure gradient. Finally, trapping phenomenon is presented to explain the physical behavior of various parameters. It is noted that the size of the trapping bolus increases with increasing whereas it decreases as increases. MATHEMATICA software is used to plot all figures.
Peristaltic transport and heat and mass transfer on a power-law fluid flow in an elastic tapered tube with variable cross-section induced by dilating peristaltic wave was illustrated in this paper. Problem was studied under the assumption of long wavelength (δ ≪ 1) and low Reynolds number (Re ≪ 1). The different emerging parameters effect are explained graphically for the exact solutions of the temperature distribution, heat transfer coefficient, rate of heat transfer and concentration of particles. The results showed that the temperature distribution and heat transfer coefficient are an increasing functions of the parameters power-law index n, dilation parameter k, amplitude ratio ϕ and volume of flow rate F whereas they are decreasing functions when the non-uniform parameter b increases. It is noted an opposite behaviour for the rate of heat transfer and concentration distribution. MATHEMATICA software is used to plot all figures.
In this paper fractional Maxwell fluid equation has been solved. The solution is in the Mettag-Leffler form. For the corresponding solutions for ordinary Maxwell fluid are obtained as limiting case of general solutions. Finally, the effects of different parameters on the velocity and shear stress profile are analyzed through plotting the velocity and shear stress profile.
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