Stagnation Point Flow of EMHD Micropolar Nanofluid with Mixed Convection and Slip Boundary

Shahzada Muhammad Atif,Muhammad Abbas,Umair Rashid,Homan Emadifar,Muhammad Imran Asjad

doi:10.1155/2021/3754922

Abstract

The aim of this numerical research is to study the stagnation point flow of the electrical magnetohydrodynamic micropolar nanofluid with slip conditions past a stretching sheet. The phenomenon of linear thermal radiation, Ohmic and internal heating, has also been considered in the energy equation. The modelled PDEs are converted into ODEs via similarity transformation, and converted ODEs are tackled via the shooting technique. The features of assorted parameters on the axial and angular velocities and energy and concentration fields are sketched. The numerical values of the Sherwood and Nusselt numbers have been computed numerically and displayed in the form of tables. Our analysis shows that the heat transfer rate is decreased as the thermal slip parameter and the diffusion slip parameter are enhanced. The present study illustrates that the energy and concentration distribution are decreased with each of the mass free convection parameter, stagnation parameter, and thermal free convection parameter.

Highlights

E aim of this numerical research is to study the stagnation point flow of the electrical magnetohydrodynamic micropolar nanofluid with slip conditions past a stretching sheet. e phenomenon of linear thermal radiation, Ohmic and internal heating, has been considered in the energy equation. e modelled PDEs are converted into ODEs via similarity transformation, and converted ODEs are tackled via the shooting technique. e features of assorted parameters on the axial and angular velocities and energy and concentration fields are sketched. e numerical values of the Sherwood and Nusselt numbers have been computed numerically and displayed in the form of tables
Our analysis shows that the heat transfer rate is decreased as the thermal slip parameter and the diffusion slip parameter are enhanced. e present study illustrates that the energy and concentration distribution are decreased with each of the mass free convection parameter, stagnation parameter, and thermal free convection parameter
It is observed that a boost in each of the electric parameter E, slip parameter S, micropolar parameter K, thermal radiation parameter Rd, the stagnation parameter S0, thermal free convection parameter Gt, diffusion slip parameter δ3, and mass free convection parameter Gc, causes an increase in Nusselt number, whereas it decreases for a boost in each of the heat generation coefficient λ, shear stress parameter δ1, magnetic parameter M, and the thermal slip parameter δ2. e Sherwood number is hiked as each of the material parameter K, magnetic parameter M, thermal free convection parameter Gt, velocity slip parameter S, electric parameter E, b mass free convection parameter Gc, stagnation parameter S0, and heat generation coefficient λ, and thermal radiation parameter Rd is boosted

Summary

Mathematical Model

2D, mixed convection micropolar nanofluid flow over a stretching sheet with slip effects has been analyzed. Joule’s heating, thermal radiation, and heat source effects have been considered in the energy equation. ]/DB denotes the √ S c hmidt number, Gc gxβc(Cw − C∞)(c + Lf′′(0) a3/] )/a2Uw denotes the mass free convection parameter, Rd 4σ∗T3∞/kκ∗ denotes the thermal radiation parameter, λ√ Q 0/a(ρCp) denotes the heat generation coefficien√t, δ 1 L a/] represents the shear stress parameter, δ2 k1 √a /] represents the temperature slip parameter, and δ3 k2 a/] represents the diffusion slip parameter, where k1 and k2 are the slip parameters associated with the reference temperature and concentration, respectively. For the verification of the correctness of the code, the results of the Nusselt and Sherwood numbers which were presented by Khan and Pop [38] and Hsiao [36] are successfully reproduced.

Results and Discussion

Concluding Remarks

E: Electrical parameter f: Reduced streamfunction hw