In this study we construct the Adomian polynomial solution by applying the Adomian’s decompositio... more In this study we construct the Adomian polynomial solution by applying the Adomian’s decomposition method to the governing equations of the unsteady magnetohydrodynamic flow of an electrically conducting viscous incompressible non-Newtonian Bingham fluid bounded by two parallel non-conducting porous plates with heat transfer and affected by a uniform external magnetic field perpendicular to the plates. The fluid motion is subjected to a uniform suction and injection, and the Hall effect is considered. The upper plate moves with a constant velocity and the lower plate is stationary while the two plates are kept at different but constant temperatures. Analytical series solutions and numerical verifications for both the velocity components and temperature distributions are obtained by means of Adomian’s decomposition method. The effect of the Hall term, viscous dissipation, the Joule parameter describing the non-Newtonian behavior, and the velocity of suction and injection are taken in...
International Communications in Heat and Mass Transfer, 2008
... This work makes a contribution to entrance heat transfer for HerschelBulkley fluids flowing ... more ... This work makes a contribution to entrance heat transfer for HerschelBulkley fluids flowing in a rectangular duct. ... 1] obtained the combined hydrodynamic and thermal entry length solutions for rectangular ducts of aspect ratios 1, 0.5, 1/3, 1/4, and 1/6. Shah and London [2] and ...
The problem of helical flow of a Sutterby model fluid has been analyzed numerically using a finit... more The problem of helical flow of a Sutterby model fluid has been analyzed numerically using a finite difference technique. Sutterby model fluid is one of the most important non-Newtonian fluids representing constitutive equations for high polymer aqueous solutions of CMC, HEC, and MC, and hence the problem is of practical significance. Computations have been made for the case when the
International Communications in Heat and Mass Transfer, 2006
The steady laminar flow and heat transfer of an incompressible, electrically conducting, power la... more The steady laminar flow and heat transfer of an incompressible, electrically conducting, power law non-Newtonian fluids in a rectangular duct are studied in the presence of an external uniform magnetic field. The momentum and energy equations are solved iteratively using a finite difference method. Two cases of the thermal boundary conditions are considered; (1) T thermal boundary condition “constant temperature at the wall” and (2) H2 thermal boundary condition “constant heat flux at the wall”. The viscous and Joule dissipations are taken into consideration in the energy equation. A numerical solution for the governing partial differential equations is developed and the influence of the magnetic field on the velocity distribution, the friction factor and the average Nusselt number are discussed.
Tytul: Unsteady MHD Flow in a Circular Pipe of a Dusty Non-Newtonian Fluid. Czasopismo: Mechanics... more Tytul: Unsteady MHD Flow in a Circular Pipe of a Dusty Non-Newtonian Fluid. Czasopismo: Mechanics and Mechanical Engineering rok: 2007, Vol. 11, nr 1, s. 113--127, Bibliogr. 13 poz. Slowa kluczowe angielskie: NON-NEWTONIAN ...
Abstract. The unsteady magnetohydrodynamic flow of an electrically conducting viscous incompressi... more Abstract. The unsteady magnetohydrodynamic flow of an electrically conducting viscous incompressible non-Newtonian Casson fluid bounded by two parallel non-conducting porous plates is studied with heat transfer considering the Hall effect. An external uniform ...
Tytul: MHD flow and heat transfer of a Bingham fluid in an eccentric annulus with the Hall effect... more Tytul: MHD flow and heat transfer of a Bingham fluid in an eccentric annulus with the Hall effect. Czasopismo: Computer Assisted Mechanics and Engineering Sciencesrok: 2007, Vol. 14, No. 1, s. 25--42, Bibliogr. 13 poz., tab., wykr. ...
In this study we construct the Adomian polynomial solution by applying the Adomian’s decompositio... more In this study we construct the Adomian polynomial solution by applying the Adomian’s decomposition method to the governing equations of the unsteady magnetohydrodynamic flow of an electrically conducting viscous incompressible non-Newtonian Bingham fluid bounded by two parallel non-conducting porous plates with heat transfer and affected by a uniform external magnetic field perpendicular to the plates. The fluid motion is subjected to a uniform suction and injection, and the Hall effect is considered. The upper plate moves with a constant velocity and the lower plate is stationary while the two plates are kept at different but constant temperatures. Analytical series solutions and numerical verifications for both the velocity components and temperature distributions are obtained by means of Adomian’s decomposition method. The effect of the Hall term, viscous dissipation, the Joule parameter describing the non-Newtonian behavior, and the velocity of suction and injection are taken in...
International Communications in Heat and Mass Transfer, 2008
... This work makes a contribution to entrance heat transfer for HerschelBulkley fluids flowing ... more ... This work makes a contribution to entrance heat transfer for HerschelBulkley fluids flowing in a rectangular duct. ... 1] obtained the combined hydrodynamic and thermal entry length solutions for rectangular ducts of aspect ratios 1, 0.5, 1/3, 1/4, and 1/6. Shah and London [2] and ...
The problem of helical flow of a Sutterby model fluid has been analyzed numerically using a finit... more The problem of helical flow of a Sutterby model fluid has been analyzed numerically using a finite difference technique. Sutterby model fluid is one of the most important non-Newtonian fluids representing constitutive equations for high polymer aqueous solutions of CMC, HEC, and MC, and hence the problem is of practical significance. Computations have been made for the case when the
International Communications in Heat and Mass Transfer, 2006
The steady laminar flow and heat transfer of an incompressible, electrically conducting, power la... more The steady laminar flow and heat transfer of an incompressible, electrically conducting, power law non-Newtonian fluids in a rectangular duct are studied in the presence of an external uniform magnetic field. The momentum and energy equations are solved iteratively using a finite difference method. Two cases of the thermal boundary conditions are considered; (1) T thermal boundary condition “constant temperature at the wall” and (2) H2 thermal boundary condition “constant heat flux at the wall”. The viscous and Joule dissipations are taken into consideration in the energy equation. A numerical solution for the governing partial differential equations is developed and the influence of the magnetic field on the velocity distribution, the friction factor and the average Nusselt number are discussed.
Tytul: Unsteady MHD Flow in a Circular Pipe of a Dusty Non-Newtonian Fluid. Czasopismo: Mechanics... more Tytul: Unsteady MHD Flow in a Circular Pipe of a Dusty Non-Newtonian Fluid. Czasopismo: Mechanics and Mechanical Engineering rok: 2007, Vol. 11, nr 1, s. 113--127, Bibliogr. 13 poz. Slowa kluczowe angielskie: NON-NEWTONIAN ...
Abstract. The unsteady magnetohydrodynamic flow of an electrically conducting viscous incompressi... more Abstract. The unsteady magnetohydrodynamic flow of an electrically conducting viscous incompressible non-Newtonian Casson fluid bounded by two parallel non-conducting porous plates is studied with heat transfer considering the Hall effect. An external uniform ...
Tytul: MHD flow and heat transfer of a Bingham fluid in an eccentric annulus with the Hall effect... more Tytul: MHD flow and heat transfer of a Bingham fluid in an eccentric annulus with the Hall effect. Czasopismo: Computer Assisted Mechanics and Engineering Sciencesrok: 2007, Vol. 14, No. 1, s. 25--42, Bibliogr. 13 poz., tab., wykr. ...
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