Abstract
The present article deals with magnetohydrodynamic boundary layer flow of an incompressible viscous fluid due to unsteady shrinking surface. Mathematical model of this mechanism has been constructed in the form of partial differential equations and then rehabilitated for coupled non-linear ordinary differential equations using similarity transformations. Though various conjectures have been proposed to explain the concept of boundary layer flow, we are presenting Adomian decomposition method (ADM) to simulate the solution of the present model. We used the diagonal padé approximant to achieve the better convergence in the solution of ADM. For the sake of validation, Adomian’s solution is compared with the two different techniques (Optimal HAM and Runge–KuttaFelburge method). The velocity profiles for various embedded parameters have been plotted and examined. Numerical values of skin-friction coefficient are calculated against various values of emerging parameters.
| Original language | English |
|---|---|
| Pages (from-to) | 1339-1346 |
| Number of pages | 8 |
| Journal | Journal of the Brazilian Society of Mechanical Sciences and Engineering |
| Volume | 37 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2015 Jul 27 |
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All Science Journal Classification (ASJC) codes
- Mechanical Engineering
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MHD boundary layer flow over an unsteady shrinking sheet : analytical and numerical approach. / Nadeem, S.; Haq, Rizwan Ul; Lee, Chang Hoon.
In: Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 37, No. 4, 27.07.2015, p. 1339-1346.Research output: Contribution to journal › Article
TY - JOUR
T1 - MHD boundary layer flow over an unsteady shrinking sheet
T2 - analytical and numerical approach
AU - Nadeem, S.
AU - Haq, Rizwan Ul
AU - Lee, Chang Hoon
PY - 2015/7/27
Y1 - 2015/7/27
N2 - The present article deals with magnetohydrodynamic boundary layer flow of an incompressible viscous fluid due to unsteady shrinking surface. Mathematical model of this mechanism has been constructed in the form of partial differential equations and then rehabilitated for coupled non-linear ordinary differential equations using similarity transformations. Though various conjectures have been proposed to explain the concept of boundary layer flow, we are presenting Adomian decomposition method (ADM) to simulate the solution of the present model. We used the diagonal padé approximant to achieve the better convergence in the solution of ADM. For the sake of validation, Adomian’s solution is compared with the two different techniques (Optimal HAM and Runge–KuttaFelburge method). The velocity profiles for various embedded parameters have been plotted and examined. Numerical values of skin-friction coefficient are calculated against various values of emerging parameters.
AB - The present article deals with magnetohydrodynamic boundary layer flow of an incompressible viscous fluid due to unsteady shrinking surface. Mathematical model of this mechanism has been constructed in the form of partial differential equations and then rehabilitated for coupled non-linear ordinary differential equations using similarity transformations. Though various conjectures have been proposed to explain the concept of boundary layer flow, we are presenting Adomian decomposition method (ADM) to simulate the solution of the present model. We used the diagonal padé approximant to achieve the better convergence in the solution of ADM. For the sake of validation, Adomian’s solution is compared with the two different techniques (Optimal HAM and Runge–KuttaFelburge method). The velocity profiles for various embedded parameters have been plotted and examined. Numerical values of skin-friction coefficient are calculated against various values of emerging parameters.
UR - http://www.scopus.com/inward/record.url?scp=84938850765&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84938850765&partnerID=8YFLogxK
U2 - 10.1007/s40430-014-0261-9
DO - 10.1007/s40430-014-0261-9
M3 - Article
AN - SCOPUS:84938850765
VL - 37
SP - 1339
EP - 1346
JO - Journal of the Brazilian Society of Mechanical Sciences and Engineering
JF - Journal of the Brazilian Society of Mechanical Sciences and Engineering
SN - 1678-5878
IS - 4
ER -