Analysis of entropy generation in peristalsis of Williamson fluid in curved channel under radial magnetic field

This paper investigates fluid motion generated by cilia and a pressure gradient in a curved channel. The flow analysis is carried out in the presence of heat transfer and radial magnetic field. The leading equations are simplified under the familiar suppositions of large wavelength and small Reynolds number approximations. An exact solution has been developed for the velocity profile. The flow characteristics of the viscous fluid are computed in the presence of cilia and metachronal wave velocity. The effects of several stimulating parameters on the flow and heat transfer are studied in detail through graphs. It is found that symmetry of the velocity profile is broken owing to bending of the channel. The radially varying magnetic field decreases the velocity field, but near the left ciliated wall it induces the opposite behavior. It is also found that velocity profile increases due to increase in buoyancy forces throughout the domain. Numerical consequences for velocity profile are also accessible in the table for diverse values of the physical parameters.

Download Full-text

Entropy generation under the influence of radial magnetic field and viscous dissipation of generalized Couette flow in an annulus

Propulsion and Power Research ◽

10.1016/j.jppr.2018.11.005 ◽

2018 ◽

Vol 7 (4) ◽

pp. 342-352

Author(s):

TaiwoS. Yusuf ◽

MichaelO. Oni

Keyword(s):

Magnetic Field ◽

Couette Flow ◽

Viscous Dissipation ◽

Entropy Generation ◽

Radial Magnetic Field

Download Full-text

Impact of radial magnetic field on peristalsis in curved channel with convective boundary conditions

Journal of Magnetism and Magnetic Materials ◽

10.1016/j.jmmm.2015.11.078 ◽

2016 ◽

Vol 403 ◽

pp. 47-59 ◽

Cited By ~ 42

Author(s):

Tasawar Hayat ◽

Anum Tanveer ◽

Fuad Alsaadi ◽

Ghassan Mousa

Keyword(s):

Magnetic Field ◽

Boundary Conditions ◽

Convective Boundary Conditions ◽

Curved Channel ◽

Convective Boundary ◽

Radial Magnetic Field

Download Full-text

Influence of variable viscosity and wall properties on the peristalsis of Jeffrey fluid in a curved channel with radial magnetic field

International Journal of Thermofluid Science and Technology ◽

10.36963/ijtst.2020070203 ◽

2020 ◽

Vol 7 (2) ◽

Author(s):

M. Gudekote ◽

D. Baliga ◽

R. Choudhari ◽

H. Vaidya ◽

K.V. Prasad ◽

...

Keyword(s):

Magnetic Field ◽

Hartmann Number ◽

Variable Viscosity ◽

Jeffrey Fluid ◽

Bolus Volume ◽

Curved Channel ◽

Radial Magnetic Field ◽

Channel Changes ◽

Long Wavelength ◽

Compliant Walls

The current investigation attempts to address the peristalsis exhibited by a Jeffrey fluid through channels with curvature and compliant walls. The flow of fluid is exposed to an external magnetic field. Moreover, variation of the viscosity of the fluid with the spatial coordinate is considered. Long wavelength and small values of Reynolds number are considered for the mathematical modeling of the problem under scope. The system of differential equations thus obtained is non-linear, the solution for which is obtained by the method of perturbation for small values of variable viscosity. The authors have provided special emphasis on the influence of pertinent parameters on velocity and trapping phenomenon. The results obtained suggest that as the channel changes from straight to curved, the velocity profile bends away from the center of the channel. Further, the trapped bolus volume is seen to be reducing with decrease in the Hartmann number.

Download Full-text

Entropy analysis in ciliated inclined channel filled with hydromagnetic Williamson fluid flow induced by metachronal waves

Thermal Science ◽

10.2298/tsci191006183s ◽

2020 ◽

pp. 183-183

Author(s):

Najma Saleem

Keyword(s):

Magnetic Field ◽

Entropy Generation ◽

Hartmann Number ◽

Fluid Velocity ◽

Physical Parameters ◽

Bejan Number ◽

Entropy Analysis ◽

Entire Study ◽

Williamson Fluid ◽

Metachronal Waves

This study reveals the entropy analysis of hydromagnetic pumping flow of Williamson fluid through a two-dimensional symmetric channel carrying cilia. Propulsive metachronal waves are mobilized by whipping and beating of uniformly distributed cilia which follow elliptic trajectory movements in the parallel direction of flow. The flow is resisted by a uniform transverse magnetic field. The entire study is carried out in wave frame of reference. After implying lubrication approximations, the governing equations of the present flow problem are solved by perturbation method. Effects of physical parameters of interest on various flow quantities, the total entropy generation number and the Bejan number are plotted and discussed. It is observed that fluid velocity and temperature is enhanced in the core channel region for small values of Hartmann number and cilia length. It is also noticed that the entropy generation and the Bejan number are decreasing function of magnetic field. Near the channel center, irreversibility due to fluid friction is dominant but at the channel wall heat transfer irreversibility effects are observed to be substantial. The confined bolus reduces in size for small values of cilia length parameter and large values of Hartmann number.

Download Full-text