Qasim M.,COMSATS Institute of Information Technology |
Khan Z.H.,Peking University |
Khan W.A.,National University of Sciences and Technology |
Ali Shah I.,Islamia College Peshawar CU
PLoS ONE | Year: 2014
This study investigates the magnetohydrodynamic (MHD) flow of ferrofluid along a stretching cylinder. The velocity slip and prescribed surface heat flux boundary conditions are employed on the cylinder surface. Water as conventional base fluid containing nanoparticles of magnetite (Fe3O4) is used. Comparison between magnetic (Fe3O4) and non-magnetic (Al2O3) nanoparticles is also made. The governing non-linear partial differential equations are reduced to non-linear ordinary differential equations and then solved numerically using shooting method. Present results are compared with the available data in the limiting cases. The present results are found to be in an excellent agreement. It is observed that with an increase in the magnetic field strength, the percent difference in the heat transfer rate of magnetic nanoparticles with Al 2O3 decreases. Surface shear stress and the heat transfer rate at the surface increase as the curvature parameter increases, i.e curvature helps to enhance the heat transfer. © 2014 Qasim et al.
Fazal-i-Haq F.,Khyber Pakhtunkhwa Agricultural University |
Shah I.A.,Islamia College Peshawar CU |
Ahmad S.,Khyber Pakhtunkhwa Agricultural University
Life Science Journal | Year: 2013
Numerical solutions of the Equal Width Wave (EW) equation are obtained by Septic B-Spline collocation method using Rubin and Graves linearization technique . The motion of a single solitary wave and interaction of two solitary waves are studied to validate the accuracy and efficiency of the proposed method. Accuracy of the method is discussed by computing the errors norms, and conservative quantities. The analytic values of invariants and along with other results show that the present method is a successful numerical technique for solving EW equation. This numerical scheme is based on forward difference scheme in time and theta-weighted scheme in space and is unconditionally stable.