TY - JOUR
T1 - The extended homotopy perturbation method and boundary layer flow due to condensation and natural convection on a porous vertical plate
AU - Al-Mdallal, Qasem M.
AU - Syam, Muhammed I.
AU - Ariel, P. Donald
N1 - Funding Information:
One of the authors (P.D.A.) gratefully acknowledges the award of a short-term visiting professorship by the United Arab Emirates University at Al Ain, UAE.
PY - 2011/11/1
Y1 - 2011/11/1
N2 - The extended homotopy perturbation method (EHPM), which is an extension to the well-known homotopy perturbation method (HPM) due to He, is applied to derive the analytical solution of the boundary layer flow of falling vapour due to the condensation on a cold, porous vertical plate. The EHPM calculates the solution automatically by adjusting the scaling factor of the independent similarity variable normal to the plate. The results obtained by the EHPM are in excellent agreement with the exact numerical solution. Also an asymptotic solution, valid for a large suction parameter is developed which matches very well with the exact solution even for moderate values of the suction velocity. Finally, it is shown that the EHPM solution is also applicable to the moderate values of blowing across the plate.
AB - The extended homotopy perturbation method (EHPM), which is an extension to the well-known homotopy perturbation method (HPM) due to He, is applied to derive the analytical solution of the boundary layer flow of falling vapour due to the condensation on a cold, porous vertical plate. The EHPM calculates the solution automatically by adjusting the scaling factor of the independent similarity variable normal to the plate. The results obtained by the EHPM are in excellent agreement with the exact numerical solution. Also an asymptotic solution, valid for a large suction parameter is developed which matches very well with the exact solution even for moderate values of the suction velocity. Finally, it is shown that the EHPM solution is also applicable to the moderate values of blowing across the plate.
KW - Ackroyd's method
KW - a porous vertical plate
KW - asymptotic solution
KW - extended homotopy perturbation method
KW - homotopy perturbation method
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U2 - 10.1080/00207160.2011.606905
DO - 10.1080/00207160.2011.606905
M3 - Article
AN - SCOPUS:84857620179
SN - 0020-7160
VL - 88
SP - 3535
EP - 3552
JO - International Journal of Computer Mathematics
JF - International Journal of Computer Mathematics
IS - 16
ER -