THE EFFECT OF VARIABLE THERMAL CONDUCTIVITY ON MICRO-POLAR FLUID FLOW BY CHEBYSHEV COLLOCATION METHOD

References

• Abd Elnaby , M. A. , Elbarbary , E. M. E. , and Abd Elazem , N. Y. ( 2004 ). Finite difference solution of radiation effects on MHD unsteady free-convection flow over vertical porous plate , J. Appl. Math. Comput. , 151 ( 2 ), 327 – 346 .
   Google Scholar
• Boyd , J. P. ( 1989 ). Chebyshev & Fourier Spectral Methods , Springer-Verlag , New York .
   Google Scholar
• Canuto , C. , Hussaini , M. Y. , and Zang , T. A. ( 1988 ). Spectral Methods in Fluid Dynamics , Springer-Verlag , New York .
   Google Scholar
• Cheng , P. C. , and Huann , M. C. ( 1994 ). Transient analysis of natural convection along a vertical wavy surface in micropolar fluids , Int. J. Eng. Sci. , 32 ( 1 ), 19 – 33 .
   Google Scholar
• Chin , D. T. ( 1975 ). Mass transfer to a continuous moving sheet electrode , J. Electrochem. Soc. , 122 , 643 .
   Web of Science ®Google Scholar
• Cogley , A. C. , Vincenti , W. G. , and Gilles , S. E. ( 1968 ). Differential approximation for radiation transfer in a non-gray near equilibrium , AIAA J. , 6 , 551 – 553 .
   Google Scholar
• Elbarbary , E. M. E. , and El-Kady , M. ( 2003 ). Chebyshev finite-difference approximation for the boundary value problems , Appl. Math. Comput. , 139 , 513 – 523 .
   Web of Science ®Google Scholar
• Elbarbary , E. M. E. , and El-Sayed , M. S. ( 2005 ). Higher order pseudospectral differentiation matrices , Appl. Numer. Math. , 55 , 425 – 438 .
   Web of Science ®Google Scholar
• Elbashbeshy , E. M. A. ( 2000 ). Free convection flow with variable viscosity and thermal conductivity along a vertical plate in the presence of magnetic field , Int. J. Eng. Sci. , 38 , 207 – 213 .
   Google Scholar
• Eldabe , N. T. , Elshehawy , E. F. , Elbarbary , E. M. E. , and Elgazery , N. S. (2005). Chebyshev finite-difference method for MHD flow of micro-polar fluid past a stretching sheet with heat transfer, Appl. Math. Comput. , 160(2), 437–450.
   Web of Science ®Google Scholar
• Elgazery , N. S. ( 2008 ). An implicit-Chebyshev pseudospectral method for the effect of radiation on power-law fluid past a vertical plate immersed in a porous medium , Commun. Nonlinear Sci. Numer. Simul. , 13 ( 4 ), 728 – 744 .
   Google Scholar
• Erickson , L. E. , Fan , L. T. , and Fox , V. G. ( 1966 ). Heat and mass transfer on a moving continuous flat plate with suction or injections , Ind. Eng. Chem. Fundam. , 5 , 19 .
   Web of Science ®Google Scholar
• Erigen , A. C. ( 1966 ). Theory of micro-polar fluids , J. Math. Mech. , 16 , 1 – 18 .
   Google Scholar
• Erigen , A. C. ( 1972 ). Theory of thermomicro-polar fluids , J. Math. Anal. Appl. , 38 , 480 – 496 .
   Google Scholar
• Ezzat , M. A. , Othman , M. I. A. , and Helmy , K. A. ( 1999 ). A problem of a micro-polar magnetohydrodynamic boundary-layer flow , Can. J. Phys. , 77 ( 10 ), 813 – 827 .
   Web of Science ®Google Scholar
• Friedman , A. ( 1982 ). Variational Principles and Free-Boundary Value Problems , John Wiley , New York .
   Google Scholar
• Ghaly , A. Y. , and Seddeek , M. A. ( 2004 ). Chebyshev finite-difference method for the effects of chemical reaction, heat and mass transfer on laminar flow along a semi-infinite horizontal plate with temperature-dependent viscosity , Chaos Solitons Fractals , 19 , 61 – 70 .
   Web of Science ®Google Scholar
• Gorla , R. S. ( 1978 ). Unsteady mass transfer in the boundary layer on a continuous moving sheet electrode , J. Electrochem. Soc. , 125 , 865 .
   Web of Science ®Google Scholar
• Gorla , R. S. , Mohammedan , A. , Mansour , M. , and Husseein , I. ( 1995 ). Unsteady natural convection from a heated vertical plate in micro-polar fluid , Numer. Heat Transfer., A Appl. , 28 , 235 – 262 .
   Google Scholar
• Griffith , R. M. ( 1964 ). Velocity, temperature, and concentration distribution during fiber spinning , Ind. Eng. Chem. Fundam. , 3 , 245 .
   Web of Science ®Google Scholar
• Gupta , P. S. , and Gupta , A. S. ( 1977 ). Heat and mass transfer on a stretching sheet with suction or blowing , Can. J. Chem. Eng. , 55 , 744 .
   Web of Science ®Google Scholar
• Hady , F. M. ( 1996 ). Solution of heat transfer to micro-polar fluid from a non-isothermal stretching sheet with injection , Int. J. Numer. Methods Heat Fluid Flows , 6 ( 6 ), 99 – 104 .
   Google Scholar
• Kim , Y. J. , and Fedorov , A. G. ( 2003 ). Transient mixed radiative convection flow of a micro-polar fluid past a moving, semi-infinite vertical porous plate , Int. J. Heat Mass Transfer , 46 ( 10 ), 1751 – 1758 .
   Google Scholar
• Peyret , R. ( 2002 ). Spectral Methods for Incompressible Viscous Flow , Springer-Verlag , New York .
   Google Scholar
• Roming , M. F. ( 1964 ). The influence of electric and magnetic fields on heat transfer to electrically conducting fluid , Adv. Heat Transf. , 1 , 286 – 354 .
   Google Scholar
• Schlichting , H. ( 1968 ). Boundary Layer Theory , 266 , McGraw-Hill , New York .
   Google Scholar
• Seddeek , M. A. , and Salama , F. A. ( 2007 ). The effects of temperature dependent viscosity and thermal conductivity on unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction , Comput. Mater. Sci. , 40 ( 2 ), 186 – 192 .
   Google Scholar