Magnetohydrodynamic peristaltic motion of a Newtonian fluid through porous walls through suction and injection
01 Nov 2017-Vol. 263, Iss: 6, pp 062007
TL;DR: In this article, the peristaltic transport of a conducting Newtonian fluid bounded by permeable walls with suction and injection moving with constant velocity of the wave in the wave frame of reference under the consideration of long wavelength and low Reynolds number was investigated.
Abstract: In this paper, we investigate the peristaltic transport of a conducting Newtonian fluid bounded by permeable walls with suction and injection moving with constant velocity of the wave in the wave frame of reference under the consideration of long wavelength and low Reynolds number. The analytical solution for the velocity field, pressure gradient and the frictional force are obtained. The effect of suction/injection parameter, amplitude ratio and the permeability parameter including slip on the flow quantities are discussed graphically. It is found that the greater the suction/injection parameter, the smaller the pressure rise against the pump works. Further, the pressure rise increases with increasing Magnetic parameter.
Citations
More filters
01 Dec 2020
8 citations
TL;DR: In this article , the peristaltic flow of Jeffrey fluid through a porous wall channel is discussed in the presence of activation energy and constant heat source/sink effects, and a chemical reaction is also part of the analysis.
Abstract: Abstract The current study discusses the peristaltic flow of Jeffrey fluid through a porous wall channel. Magnetohydrodynamic (MHD) effects are also considered while formulating the problem. Heat and mass transfers are discussed in the presence of activation energy and constant heat source/sink effects. A chemical reaction is also part of the analysis. The Lubrication approach is adopted for the simplification of resulting non-linear equations. MATHEMATICA command, NDSolve, is used to discuss the results graphically for various flow parameters like Hartman number $$(M)$$ ( M ) , porosity parameter $$(k)$$ ( k ) , slip parameters ( $$\gamma ,{\gamma }_{1},{\gamma }_{2}$$ γ , γ 1 , γ 2 ), Schmidt $$(Sc)$$ ( S c ) , Soret $$(Sr)$$ ( S r ) and Prandtl $$(Pr)$$ ( P r ) numbers, and many others. Parabolic behavior for velocity and sinusoidal nature for heat transfer and pressure gradient is noticed. Results indicate that the velocity is greatly affected by varying values of slip parameters ( γ ′ s ) and Hartman number $$(H)$$ ( H ) . Enhancing the viscoelastic nature of fluid causes an increase in velocity. Similar behavior is noticed for velocity and temperature profiles. The decreasing trend is shown by concentration when the value of the chemical reaction and temperature ratio parameters is enhanced. Thus, the study presented in the current analysis can be used to study many human physiological systems especially, the blood flow. Since Jeffrey's fluid exhibits the same characteristics as observed for blood.
3 citations
01 Jan 2020
TL;DR: In this article, the peristaltic transport of a Newtonian fluid with heat transfer in a vertical porous axisymmetric tube under long-wavelength approximation is considered and closed-form solution is obtained as an asymptotic expansion in terms of porosity and free convection parameters.
Abstract: Peristaltic transport of a Newtonian fluid, with heat transfer, in a vertical porous axisymmetric tube under long-wavelength approximation is considered. Closed-form solution is obtained as an asymptotic expansion in terms of porosity and free convection parameters. Expressions, for velocity, temperature, coefficient of heat transfer and pressure–flow relationship at the boundary wall of the tube, are derived. It is observed that pressure drop increases as amplitude ratio increases. Further, it has been observed that for some specific values of different parameters under consideration, the mean flux significantly increases by about 8–10% as Grashof number increases from 1 to 2. This relates to optimization of heat transfer in certain processes.
1 citations
References
More filters
TL;DR: In this article, the mathematical modelling on magnetohydrodynamic peristaltic flow of Jeffrey fluid in the gap between two eccentric tubes has been discussed in the presence of applied magnetic fi eld.
Abstract: In this article, the mathematical modelling on magnetohydrodynamic peristaltic flow of Jeffrey fluid in the gap between two eccentric tubes has been discussed in the presence of applied magnetic fi eld. Geometrically, we considered two eccentric tubes in which the inner tube is rigid while the tube at the outer side has a sinusoidal wave pro pagating along the wall. The governing equations for Jeffrey fluid in a cylindrical coordinates for three dimensional flow are given. The approximations of low Reynolds number and long wavelength have been employed to reduce the highly nonlinear partial differential equations. The problem has been solved with the help of homotopy perturbation method alongwith eigen function expansion method. The graphs of pressure rise, pressure gradient and velocity (for two and three dimensional flow) have been drawn. The stre amlines have also been presented to discuss the trapping bolus discipline.
61 citations
TL;DR: The effect of velocity slip, temperature and concentration jump conditions on the MHD peristaltic flow of a Carreau fluid in a non-uniform channel with heat and mass transfer is investigated and the trapping phenomenon is analyzed.
54 citations
TL;DR: In this article, the peristaltic flow of viscous fluid in an asymmetric inclined channel with heat transfer and inclined magnetic field is examined and the convective boundary conditions have been handled.
Abstract: Peristaltic flow of viscous fluid in an asymmetric inclined channel with heat transfer and inclined magnetic field is examined. The convective boundary conditions have been handled. Complexity of emerging equations is simplified by utilizing long wavelength and low Reynolds number approximation. Variation of emerging parameters embedded in flow system are discussed. It is observed that an increase in Brikman number increases the temperature profile. Further, it is seen that temperature distribution is an increasing function of Biot number at lower wall.
10 citations