Heat transfer analysis of MHD thin film flow of an unsteady second grade fluid past a vertical oscillating belt.
This article aims to study the thin film layer flowing on a vertical oscillating belt. The flow is considered to satisfy the constitutive equation of unsteady second grade fluid. The governing equation for velocity and temperature fields with subjected initial and boundary conditions are solved by two analytical techniques namely Adomian Decomposition Method (ADM) and Optimal Homotopy Asymptotic Method (OHAM). The comparisons of ADM and OHAM solutions for velocity and temperature fields are shown numerically and graphically for both the lift and drainage problems. It is found that both these solutions are identical. In order to understand the physical behavior of the embedded parameters such as Stock number, frequency parameter, magnetic parameter, Brinkman number and Prandtl number, the analytical results are plotted graphically and discussed.
Department of Mathematics, Abdul Wali Khan University, Mardan Khyber Pakhtunkhwa, Pakistan.
Taza
T
Gul
Department of Mathematics, Abdul Wali Khan University, Mardan Khyber Pakhtunkhwa, Pakistan.
Saeed
S
Islam
Department of Mathematics, University of Engineering and Technology, Peshawar Khyber Pakhtunkhwa, Pakistan.
Rehan Ali
RA
Shah
Department of Basic Sciences, College of Engineering Majmaah University, Majmaah, Saudi Arabia.
Ilyas
I
Khan
Department of mathematical Sciences, Faculty of science, University Teknology Malaysia, UTM Johor Bahru, Johor, Malaysia.
Asma
A
Khalid
Department of mathematical Sciences, Faculty of science, University Teknology Malaysia, UTM Johor Bahru, Johor, Malaysia.
Sharidan
S
Shafie
D002616:Chemical Engineering / Q000379:methods*; D057446:Hydrodynamics; D008956:Models, Chemical; D013696:Temperature; D013814:Thermal Conductivity