MHD flow and heat transfer analysis of Newtonian and non-Newtonian nanofluids due to an inclined stretching surface

Abstract

Purpose The purpose of this paper is to study the flow, heat and mass transfer of MHD Casson nanofluid due to an inclined stretching sheet using similarity transformation, the governing PDE’S equations of flow, heat and mass transfer are converted into ODE’S. The resulting non-linear ODE’S are solved numerically using an implicit finite difference method, which is known as Kellor-box method. The effects of various governing parameters on velocity, temperature and concentration are plotted for both Newtonian and non-Newtonian cases. The numerical values of skin friction, Nusselt number and Sherwood number are calculated and tabulated in various tables for different values of physical parameters. It is noticed that the effect of angle of inclination enhances the temperature and concentration profile whereas velocity decreases. The temperature decreases due to the increase in the parametric values of Pr and Gr due to thickening in the boundary layer. Design/methodology/approach Numerical method is applied to find the results. Findings Flow and heat transfer analysis w.r.t various flow and temperature are analyzed for different values of the physical parameters. Research limitations/implications The numerical values of skin friction, Nusselt number and Sherwood number are calculated and tabulated in various tables for different values of physical parameters. Practical implications The study of the boundary layer flow, heat and mass transfer is important due to its applications in industries and many manufacturing processes such as aerodynamic extrusion of plastic sheets and cooling of metallic sheets in a cooling bath. Originality/value Here in this paper the authors have investigated the MHD boundary layer flow of a Casson nanofluid over an inclined stretching sheet along with the Newtonian nanofluid as a limited.

Numerical study on influence of inclination and sinusoidal heating on magneto-convection in an inclined lid-driven cavity

“…It is observed that the average rate of thermal energy transport is raised on enhancing the Rayleigh number for all tilt angles. Nandeppanavar et al (2020) inspected MHD flow and thermal energy transfer for a Casson nanofluid in a stretching sheet of inclination position. Numerous inclined cavity works are studied in the literature, see Sharif (2007), Ghasemi and Aminossadati (2009), Pirmohammadi and Ghassemi (2009), Sivasankaran et al (2013), Sivakumar and Sivasankaran (2014) and Iwatsu et al (1993).…”

“…It is observed that the average rate of thermal energy transport is raised on enhancing the Rayleigh number for all tilt angles. Nandeppanavar et al. (2020) inspected MHD flow and thermal energy transfer for a Casson nanofluid in a stretching sheet of inclination position.…”

Transportation of heat and mass of nonlinear mixed convective boundary flow of Casson fluid with generalized Fourier’s and Fick’s laws and stratification effect

“…Nandeppanavar et al. 28 discussed the heat and mass transfer of Casson nanofluid flow along magnetic field effect across an inclined stretching surface. Ahmad et al.…”

“…Makinde et al 27 considered the Cattaneo-Christov theory to study the heat and mass transfer of Casson nanofluid through a stretching cylinder. Nandeppanavar et al 28 discussed the heat and mass transfer of Casson nanofluid flow along magnetic field effect across an inclined stretching surface. Ahmad et al 29 evaluated the stagnation point flow of micropolar nanofluid through a nonlinear stretching sheet with Cattaneo-Christov theory.…”