The peristaltic flow of a Johnson-Segalman fluid in a planar channel is investigated in an induced magnetic field with the slip condition. The symmetric nature of the flow in a channel is utilized. The velocity slip c...The peristaltic flow of a Johnson-Segalman fluid in a planar channel is investigated in an induced magnetic field with the slip condition. The symmetric nature of the flow in a channel is utilized. The velocity slip condition in terms of shear stresses is considered. The mathematical formulation is presented, and the equations are solved under long wavelength and low Reynolds number approximations. The perturbation solutions are established for the pressure, the axial velocity, the micro-rotation component, the stream function, the magnetic-force function, the axial induced magnetic field, and the current distribution across the channel. The solution expressions for small Weissenberg numbers are derived. The flow quantities of interest are sketched and analyzed.展开更多
In this paper Williamson ?uid is taken into account to study its peristaltic ?ow with heat effects. The study is carried out in a wave frame of reference for symmetric channel. Analysis of heat transfer is accomplishe...In this paper Williamson ?uid is taken into account to study its peristaltic ?ow with heat effects. The study is carried out in a wave frame of reference for symmetric channel. Analysis of heat transfer is accomplished by accounting the effects of non-constant thermal conductivity and viscosity and viscous dissipation. Modeling of fundamental equations is followed by the construction of closed form solutions for pressure gradient, stream function and temperature while assuming Reynold's number to be very low and wavelength to be very long. Double perturbation technique is employed, considering Weissenberg number and variable ?uid property parameter to be very small. The effects of emerging parameters on pumping, trapping, axial pressure gradient, heat transfer coe?cient, pressure rise,velocity pro?le and temperature are analyzed through the graphical representation. A direct relation is observed between temperature and thermal conductivity whereas the indirect proportionality with viscosity. The heat transfer coe?cient is lower for a ?uid with variable thermal conductivity and variable viscosity as compared to the ?uid with constant thermal conductivity and constant viscosity.展开更多
In this paper Carreau fluid is taken into account to study its peristaltic flow with Hall and ion-slip effects.The study is carried out in a wave frame of reference for both asymmetric and symmetric channel.Analysis o...In this paper Carreau fluid is taken into account to study its peristaltic flow with Hall and ion-slip effects.The study is carried out in a wave frame of reference for both asymmetric and symmetric channel.Analysis of heat transfer is accomplished by taking the effects of viscous dissipation and ohmic heating into our consideration.Modeling of fundamental equations is followed by the construction of closed form solutions for pressure gradient,stream function and temperature while assuming Reynold's number is very low and wavelength very long.The closed form solutions are generated with the help of perturbation technique considering Weissenberg number to be very small.The effects of emerging parameters on pumping,trapping,axial pressure gradient,pressure rise,velocity profile and temperature are analyzed through the graphical representation.展开更多
基金Project supported by the Higher Education Commission (HEC) of Pakistan (No. 074-2997-Ps4-021)the Deanship of Scientific Research (DSR) of King Abdualaziz University of Saudi Arabia
文摘The peristaltic flow of a Johnson-Segalman fluid in a planar channel is investigated in an induced magnetic field with the slip condition. The symmetric nature of the flow in a channel is utilized. The velocity slip condition in terms of shear stresses is considered. The mathematical formulation is presented, and the equations are solved under long wavelength and low Reynolds number approximations. The perturbation solutions are established for the pressure, the axial velocity, the micro-rotation component, the stream function, the magnetic-force function, the axial induced magnetic field, and the current distribution across the channel. The solution expressions for small Weissenberg numbers are derived. The flow quantities of interest are sketched and analyzed.
文摘In this paper Williamson ?uid is taken into account to study its peristaltic ?ow with heat effects. The study is carried out in a wave frame of reference for symmetric channel. Analysis of heat transfer is accomplished by accounting the effects of non-constant thermal conductivity and viscosity and viscous dissipation. Modeling of fundamental equations is followed by the construction of closed form solutions for pressure gradient, stream function and temperature while assuming Reynold's number to be very low and wavelength to be very long. Double perturbation technique is employed, considering Weissenberg number and variable ?uid property parameter to be very small. The effects of emerging parameters on pumping, trapping, axial pressure gradient, heat transfer coe?cient, pressure rise,velocity pro?le and temperature are analyzed through the graphical representation. A direct relation is observed between temperature and thermal conductivity whereas the indirect proportionality with viscosity. The heat transfer coe?cient is lower for a ?uid with variable thermal conductivity and variable viscosity as compared to the ?uid with constant thermal conductivity and constant viscosity.
文摘In this paper Carreau fluid is taken into account to study its peristaltic flow with Hall and ion-slip effects.The study is carried out in a wave frame of reference for both asymmetric and symmetric channel.Analysis of heat transfer is accomplished by taking the effects of viscous dissipation and ohmic heating into our consideration.Modeling of fundamental equations is followed by the construction of closed form solutions for pressure gradient,stream function and temperature while assuming Reynold's number is very low and wavelength very long.The closed form solutions are generated with the help of perturbation technique considering Weissenberg number to be very small.The effects of emerging parameters on pumping,trapping,axial pressure gradient,pressure rise,velocity profile and temperature are analyzed through the graphical representation.
