Analysis for MHD Flow of a Maxwell Fluid past a Vertical Stretching Sheet in the Presence of Thermophoresis and Chemical Reaction
The hydromagnetic flow of a Maxwell fluid past a vertical stretching sheet with thermophoresis is considered. The impact of chemical reaction species to the flow is analyzed for the first time by using the homotopy analysis method (HAM). The h-curves for the flow boundary layer equations are presented graphically. Several values of wall skin friction, heat and mass transfer are obtained and discussed.
[1] C. Fetecau and C. Fetecau, The Rayleigh Stokes-problem for a fluid of Maxwellian type, International Journal of Non-Linear Mechanics, 38(2003) 603607.
[2] C. Fetecau and C. Fetecau, An exact solution for the flow of a Maxwell
fluid past an infinite plate, International Journal of Non-Linear Mechanics,
38 (2003) 423-427.
[3] K. Sadeghy, A.H. Najafi and M.Saffaripour, Sakiadis flowof an upperconvected
Maxwell fluid, International Journal of Non-Linear Mechanics,
40 (2005) 1220-1228.
[4] T. Hayat and M. Sajid, Homotopy analysis of MHD boundary layer
flow of an upper-convected Maxwell fluid, International Journal of
Engineering Science, 45 (2007) 393-401.
[5] Y. Wang and T. Hayat, Fluctuating flow of a Maxwell fluid past a
porous plate with variable suction, Nonlinear Analysis: Real World
Applications, 9 (2008) 1269-1282.
[6] C. Fetecau, M. Athar and C. Fetecau, Unsteady flow of a generalized
Maxwell fluid with fractional derivative due to a constantly accelerating
plate, Computers and Mathematics with Applications 57 (2009) 596-
603.
[7] T. Hayat, Z. Abbas and N. Alib, MHD flow and mass transfer of a upperconvected
Maxwell fluid past a porous shrinking sheet with chemical
reaction species, Physics Letters A 372 (2008) 4698-4704.
[8] T. Hayat, M. Awais, M. Qasim and A.A. Hendi, Effects of mass transfer
on the stagnation point flow of an upper-convected Maxwell (UCM) fluid,
International Journal of Heat and Mass Transfer 54 (2011) 3777-3782.
[9] T. Hayat, R. Sajjad, Z. Abbas, M. Sajid and A.A. Hendi, Radiation
effects on MHD flow of Maxwell fluid in a channel with porous medium,
International Journal of Heat and Mass Transfer 54 (2011) 854-862.
[10] T. Hayat and M. Qasim, Influence of thermal radiation and Joule heating
on MHD flow of a Maxwell fluid in the presence of thermophoresis,
International Journal of Heat and Mass Transfer 53 (2010) 4780-4788.
[11] S.J. Liao, Beyond Perturbation: Introduction to the Homotopy Analysis
Metho, Chapman and Hall, Boca Raton (2003).
[12] S.J. Liao and I. Pop, Explicit analytic solution for similarity boundary
layer equations, International Journal of Heat and Mass Transfer 47
(2004) 75-78.
[13] S.J. Liao, A new branch of solutions of boundary-layer flows over an
impermeable stretched plate, International Journal of Heat and Mass
Transfer, 48 (2005) 2529-3259.
[14] H. Xu and S.J. Liao, A series solution of the unsteady Von Karman
swirling viscous flows, Acta Applicandae Mathematicae 94 (2006) 215–
231.
[15] Z. Ziabakhsh and G. Domairry, Analytic solution of natural convection
flow of a non-Newtonian fluid between two vertical flat plates using
homotopy analysis method, Communication in Nonlinear Science and
Numerical Simulation 14 (2009) 1868-1880.
[16] O. Abdulaziz, N.F.M. Noor and I. Hashim, Homotopy analysis method
for fully developed MHD micropolar fluid flow between vertical porous
plates, International Journal for Numerical Methods in Engineering 78
(2009) 817–827.
[17] N.F.M. Noor, O. Abdulaziz and I. Hashim, MHD fow and heat transfer
in a thin liquid film on an unsteady stretching sheet by the homotopy
analysis method, International Journal for Numerical Methods in Fluids
63 (2010) 357–373.
[18] N.F.M. Noor and I. Hashim, Thermocapillarity and magnetic field effects
in a thin liquid film on an unsteady stretching surface,International
Journal of Heat and Mass Transfer 53 (2010) 2044-2051.
[1] C. Fetecau and C. Fetecau, The Rayleigh Stokes-problem for a fluid of Maxwellian type, International Journal of Non-Linear Mechanics, 38(2003) 603607.
[2] C. Fetecau and C. Fetecau, An exact solution for the flow of a Maxwell
fluid past an infinite plate, International Journal of Non-Linear Mechanics,
38 (2003) 423-427.
[3] K. Sadeghy, A.H. Najafi and M.Saffaripour, Sakiadis flowof an upperconvected
Maxwell fluid, International Journal of Non-Linear Mechanics,
40 (2005) 1220-1228.
[4] T. Hayat and M. Sajid, Homotopy analysis of MHD boundary layer
flow of an upper-convected Maxwell fluid, International Journal of
Engineering Science, 45 (2007) 393-401.
[5] Y. Wang and T. Hayat, Fluctuating flow of a Maxwell fluid past a
porous plate with variable suction, Nonlinear Analysis: Real World
Applications, 9 (2008) 1269-1282.
[6] C. Fetecau, M. Athar and C. Fetecau, Unsteady flow of a generalized
Maxwell fluid with fractional derivative due to a constantly accelerating
plate, Computers and Mathematics with Applications 57 (2009) 596-
603.
[7] T. Hayat, Z. Abbas and N. Alib, MHD flow and mass transfer of a upperconvected
Maxwell fluid past a porous shrinking sheet with chemical
reaction species, Physics Letters A 372 (2008) 4698-4704.
[8] T. Hayat, M. Awais, M. Qasim and A.A. Hendi, Effects of mass transfer
on the stagnation point flow of an upper-convected Maxwell (UCM) fluid,
International Journal of Heat and Mass Transfer 54 (2011) 3777-3782.
[9] T. Hayat, R. Sajjad, Z. Abbas, M. Sajid and A.A. Hendi, Radiation
effects on MHD flow of Maxwell fluid in a channel with porous medium,
International Journal of Heat and Mass Transfer 54 (2011) 854-862.
[10] T. Hayat and M. Qasim, Influence of thermal radiation and Joule heating
on MHD flow of a Maxwell fluid in the presence of thermophoresis,
International Journal of Heat and Mass Transfer 53 (2010) 4780-4788.
[11] S.J. Liao, Beyond Perturbation: Introduction to the Homotopy Analysis
Metho, Chapman and Hall, Boca Raton (2003).
[12] S.J. Liao and I. Pop, Explicit analytic solution for similarity boundary
layer equations, International Journal of Heat and Mass Transfer 47
(2004) 75-78.
[13] S.J. Liao, A new branch of solutions of boundary-layer flows over an
impermeable stretched plate, International Journal of Heat and Mass
Transfer, 48 (2005) 2529-3259.
[14] H. Xu and S.J. Liao, A series solution of the unsteady Von Karman
swirling viscous flows, Acta Applicandae Mathematicae 94 (2006) 215–
231.
[15] Z. Ziabakhsh and G. Domairry, Analytic solution of natural convection
flow of a non-Newtonian fluid between two vertical flat plates using
homotopy analysis method, Communication in Nonlinear Science and
Numerical Simulation 14 (2009) 1868-1880.
[16] O. Abdulaziz, N.F.M. Noor and I. Hashim, Homotopy analysis method
for fully developed MHD micropolar fluid flow between vertical porous
plates, International Journal for Numerical Methods in Engineering 78
(2009) 817–827.
[17] N.F.M. Noor, O. Abdulaziz and I. Hashim, MHD fow and heat transfer
in a thin liquid film on an unsteady stretching sheet by the homotopy
analysis method, International Journal for Numerical Methods in Fluids
63 (2010) 357–373.
[18] N.F.M. Noor and I. Hashim, Thermocapillarity and magnetic field effects
in a thin liquid film on an unsteady stretching surface,International
Journal of Heat and Mass Transfer 53 (2010) 2044-2051.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:53659", author = "Noor Fadiya Mohd Noor", title = "Analysis for MHD Flow of a Maxwell Fluid past a Vertical Stretching Sheet in the Presence of Thermophoresis and Chemical Reaction", abstract = "The hydromagnetic flow of a Maxwell fluid past a vertical stretching sheet with thermophoresis is considered. The impact of chemical reaction species to the flow is analyzed for the first time by using the homotopy analysis method (HAM). The h-curves for the flow boundary layer equations are presented graphically. Several values of wall skin friction, heat and mass transfer are obtained and discussed.
", keywords = "homotopy, MHD, thermophoresis, chemical reaction, Maxwell", volume = "6", number = "4", pages = "418-5", }
