Author/Authors :
Khan, Umar HITEC University - Faculty of Sciences - Department of Mathematics, Pakistan , Ahmed, Naveed HITEC University - Faculty of Sciences - Department of Mathematics, Pakistan , Zaidi, Z.A. HITEC University - Faculty of Sciences - Department of Mathematics, Pakistan , Zaidi, Z.A. University Road - COMSATS Institute of Information Technology, Pakistan , Asadullah, Mir University Road - COMSATS Institute of Information Technology, Pakistan , Mohyud-Din, Tauseef HITEC University - Faculty of Sciences - Department of Mathematics, Pakistan
Abstract :
Magneto hydrodynamic (MHD) squeezing flow of a viscous fluid has been discussed. Conservation laws combined with similarity transformations have been used to formulate the flow mathematically that leads to a highly nonlinear ordinary differential equation. Analytical solution to the resulting differential equation is determined by employing Variation of Parameters Method (VPM). Runge–Kutta order-4 method is also used to solve the same problem for the sake of comparison. It is found that solution using VPMreduces the computational work yetmaintains a very high level of accuracy. The influence of different parameters is also discussed and demonstrated graphically.
Keywords :
Magneto hydrodynamic (MHD) flows , Squeezing flow , Variation of Parameters Method (VPM) , Flow parameters
