Numerical Approach for Convective Magnetohydrodynamic (Mhd) Nanofluid Flow with Impermeable Stretching Surface

Authors

  • Abubakar Assidiq Hussaini Department of Mathematical Sciences, Abubakar Tafawa Balewa University, PMB 0248, Bauchi. Nigeria
  • Abdullahi Madaki Gamsha Abubaka Tafawa Balewa University, Bauchi, Nigeria
  • Sanusi Kabiru Alaramma Department of Mathematical Sciences, Abubakar Tafawa Balewa University, PMB 0248, Bauchi, Nigeria.
  • Aminu Barde Department of Mathematical Sciences, Abubakar Tafawa Balewa University, PMB 0248, Bauchi, Nigeria.
  • Isah Abdullahi Department of Mathematical Sciences, Abubakar Tafawa Balewa University, PMB 0248, Bauchi, Nigeria.

Abstract

This research explores the convective magnetohydrodynamic (MHD) boundary layer flow of nanofluid, past a nonlinear impermeable stretchable surface of variable thickness. The flow is influenced by linearly stretching the surface with internal heat generation or absorption and by the presence of Soret diffusivity and impermeability of the surface. The mathematical expressions are accomplished via boundary layer access. The Partial differential systems (dimensional systems) are transformed into Ordinary differential systems (non-dimensional systems). The governing non-linear profiles of momentum, temperature, and nanoparticles concentration have been solved numerically by using the Runge–Kutta–Fehlberg method along with the shooting technique. Numerous emerging Physical parameters which are involved in the system are interpreted by the table of values. however, the effects of Soret diffusivity, as well as impermeability of the surface, were numerically studied and analyzed. According to the result we found, it is revealed that higher impermeability of the surface results in the reduction of velocity distribution, as well as Nusselt number. Whereas, Effects of Soret diffusivity on the profiles of nanoparticles as well as the temperature were found to have reverse effects. It was observed as well that higher values of impermeability parameters enhanced the temperature of the system as well as the system’s concentration. Hence, temperature, momentum, Nusselt number as well as Sherwood number are found to be decreasing functions.

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Published

2022-03-07