Open AccessWilliamson nanofluid flow over a stretching sheet with varied wall thickness and slip effects
Author(s) -
Shazwani Md Razi,
Siti Khuzaimah Soid,
Ahmad Sukri Abd Aziz,
Noorashikin Adli,
Zaileha Md Ali
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1366/1/012007
Subject(s) - nanofluid , nusselt number , mechanics , materials science , magnetohydrodynamic drive , slip (aerodynamics) , volume fraction , boundary layer , slip ratio , boundary value problem , nonlinear system , ordinary differential equation , thermodynamics , magnetohydrodynamics , composite material , differential equation , mathematics , physics , heat transfer , mathematical analysis , reynolds number , shear stress , plasma , quantum mechanics , turbulence
This study investigates the effects of slip parameters and velocity power index parameter along with wall thickness on the magnetohydrodynamic (MHD) boundary layer flow of a Williamson nanofluid through a stretching sheet in porous medium. The governing partial differential equations are transformed into nonlinear ordinary differential equations (ODEs) using the relevant similarity variables. These nonlinear ODEs are solved numerically using the Runge-Kutta Fehlberg in MAPLE software. The effects of the pertinent parameters on the velocity, temperature and nanoparticle volume fraction profiles are presented graphically. The impact of the physical parameters on the skin friction coefficient, the local Nusselt number and the local Sherwood number are computed and analyzed. The velocity profile increases when the velocity slip parameter increases. The temperature slip and nanoparticle fraction slip parameters reduce the temperature and the nanoparticle volume fraction profiles respectively. The temperature and the nanoparticle volume fraction profiles significantly increase due to the increase in the velocity power index. An opposite behaviour is observed on different values of the wall thickness parameter when the power index is less than one compared to greater than one.