Open AccessCaputo Fractional MHD Casson Fluid Flow Over an Oscillating Plate with Thermal Radiation
Author(s) -
Ridhwan Reyaz,
Lim Yeou Jiann,
Ahmad Qushairi Mohamad,
Muhammad Saqib,
Sharidan Shafie
Publication year - 2021
Publication title -
journal of advanced research in fluid mechanics and thermal sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.247
H-Index - 13
ISSN - 2289-7879
DOI - 10.37934/arfmts.85.2.145158
Subject(s) - laplace transform , magnetohydrodynamics , nusselt number , partial differential equation , buoyancy , fractional calculus , mechanics , thermal radiation , thermoelastic damping , ordinary differential equation , mathematics , mathematical analysis , flow (mathematics) , viscous liquid , physics , thermal , classical mechanics , differential equation , turbulence , thermodynamics , magnetic field , quantum mechanics , reynolds number
The effect of the thermal radiation on the MHD Casson fluid along with the fractional derivative in an oscillating vertical plate is elucidated. More exactly, the Caputo fractional model is utilized in developing the governing equations. Besides, the influence of the buoyancy force due to the temperature gradient has also been considered. The derived fractional partial differential equations are converted into ordinary differential equations by using the Laplace transform technique and then are solved for analytical solutions via the characteristic method. The inversion of the Laplace transformation is obtained through the numerical approach of Zakian. The effects of various physical parameters on the velocity and temperature profiles, Nusselt number, and skin friction have been analyzed and depicted in graphs and tables. The distribution of the velocity and temperature either in viscous or Casson fluid do enhance by the fractional parameter.