Numerical simulation of MHD stagnation point flow and heat transfer of a micropolar fluid towards a heated shrinking sheet

Abstract

SUMMARY A comprehensive study of magneto hydrodynamics two‐dimensional stagnation flow with heat transfer characteristics towards a heated shrinking sheet immersed in an electrically conducting incompressible micropolar fluid in the presence of a transverse magnetic field is analyzed numerically. The governing continuity, momentum, angular momentum and heat equations together with the associated boundary conditions are first reduced to a set of self similar nonlinear ordinary differential equations using a similarity transformation and are then solved by a method based on finite difference discretization. Some important features of the flow and heat transfer in terms of normal and streamwise velocities, microrotation and temperature distributions for different values of the governing parameters are analyzed, discussed and presented through tables and graphs. The results indicate that the reverse flow caused due to shrinking of the sheet can be stopped by applying a strong magnetic field. The magnetic field enhances the shear stresses and decreases the thermal boundary layer thickness. The heat loss per unit area from the sheet decreases with an increase in the shrinking parameter. Micropolar fluids exhibit reduction in shear stresses and heat transfer rate as compared with Newtonian fluids, which may be beneficial in the flow and thermal control of polymeric processing. Copyright © 2011 John Wiley & Sons, Ltd.

MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

“…The governing equations are: trinsic motion and local uid particles and can be the impact of polymer olutions, biological and r the impact of mass and cal reaction impact have ers in last few years in ns in hydrometallurgical h as process method of because of freezing, and grove of trees, heat cooling towers. Heat onvection and zero mass rinking surface has gain ial dying, hot wiring, tion process, production changers, prevention of of the problem of MHD of micropolar fluid at s a moving sheet was nd Bashir [19]. The problem was made by added mixed convection and solved analytically.…”

“…Further the impact of mass and fer with chemical reaction impact have many researchers in last few years in heir applications in hydrometallurgical ical plants such as process method of rops damage because of freezing, re distribution and grove of trees, heat s transfer in cooling towers. Heat ue to surface convection and zero mass e stretching/shrinking surface has gain ce in material dying, hot wiring, lants, transpiration process, production fiber, heat exchangers, prevention of c. erical solution of the problem of MHD n point flow of micropolar fluid at n point towards a moving sheet was by Ashraf and Bashir [19]. The of the above problem was made by t al.…”

“…Heat ace convection and zero mass g/shrinking surface has gain aterial dying, hot wiring, spiration process, production t exchangers, prevention of tion of the problem of MHD low of micropolar fluid at wards a moving sheet was raf and Bashir [19]. The bove problem was made by hey added mixed convection em and solved analytically.…”

“…Furthermore, the impact of mass and heat transfer, combined with the impact of chemical reaction, has in the last few years been investigated with regard to possible applications in hydrometallurgical and chemical plants, including fruit-processing methods, freeze damage of crops, temperature distribution and growth of trees, and heat and mass transfer in cooling towers. Heat transfer due to surface convection and zero mass flux at a stretching/shrinking surface has gained significance in material dying, hot wiring, nuclear plants, transpiration process, production of glass fiber, heat exchangers, prevention of energy, etc.The numerical solution of the problem of MHD stagnation point flow of micropolar fluid towards a moving sheet was presented by Ashraf and Bashir [19]. The extension of the above problem was performed by Rashidi et al [20].…”

“…The numerical solution of the problem of MHD stagnation point flow of micropolar fluid towards a moving sheet was presented by Ashraf and Bashir [19]. The extension of the above problem was performed by Rashidi et al [20].…”