RADIATION AND HALL CURRENT IMPRESSIONS ON NEWTONIAN AND BINGHAM FLUIDS FLOW PAST A STRETCHING SURFACE

Md. Yousuf  Ali; Sk. Reza-E- Rabbi; Sarder Firoz  Ahmmed

doi:10.53808/KUS.2022.ICSTEM4IR.0014-se

Authors

Md. Yousuf Ali Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
Sk. Reza-E- Rabbi Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
Sarder Firoz Ahmmed Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2022.ICSTEM4IR.0014-se

Keywords:

Hall Current, Thermal radiation, Stretching Sheet, Bingham fluid, RK-based shooting method.

Abstract

The continuous two-dimensional MHD nanofluid flow across a nonlinear stretching sheet has been investigated in this work. In this paper, the study was done in the presence of both Hall current and radiation. The nonlinear partial differential equations were first regulated using boundary layer approximation, and then the governing equations were converted into an ordinary system of differential equations using appropriate similarity solutions. The numerical simulations were carried out using the Nachtsheim-Swigert shooting iteration approach and a six-order Runge-Kutta integration scheme where a programming language called FORTRAN was used as assistance. The outcomes of the problem related equations have been narrated briefly and displayed by various graph. The dominance of the stretching parameter and combined effects of Hall current together with thermal radiation on velocity profiles, temperature profiles, and concentration profiles, as well as important physical phenomena like skin friction, Nusselt number and Sherwood number, were examined with the help of various graphs. The implications of material and magnetic factors on primary velocity, Prandtl number on temperature profiles, and Lewis number on concentration profiles have been visually depicted. The dominance of Hall current and radiation at the same time, as well as the impression of stretching parameter, have been determined to be more effective on Bingham fluid. It has application in drug delivery. It can be used to administer drugs. Because fluidity takes a particular level of shear stress to produce, it may be focused to medication delivery in certain muscles or organs by regulating injection pressure and other drug delivery devices.

Downloads

Download data is not yet available.

References

Akaje, T. W., & Olajuwon, B. I. (2021). Impacts of nonlinear thermal radiation on a stagnation point of an aligned MHD Casson nanofluid flow with Thompson and Troian slip boundary condition. Journal of Advanced Research in Experimental Fluid Mechanics and Heat Transfer, 6(1), 1-15.

Berrehal, H., Sowmya, G., & Makinde, O. D. (2021). Shape effect of nanoparticles on MHD nanofluid flow over a stretching sheet in the presence of heat source/sink with entropy generation. International Journal of Numerical Methods for Heat & Fluid Flow © Emerald Publishing Limited 0961-5539.

Bilal, S., Shah, I. A., Akgiil, A., Nisar, K. S., Khan, I., Khashan, M. M., & Yahia, I. S. (2021). Finite difference simulations for magnetically effected swirling flow of Newtonian liquid induced by porous disk with inclusion of thermophoretic particles diffusion. Alexandria Engineering Journal, 61, 4341–4358.

Devi, R., Poply, V., & Manimala (2021). Effect of aligned magnetic field and inclined outer velocity in Casson fluid flow over a stretching sheet with heat source. Journal of Thermal Engineering, Yildiz Technical University Press, Istanbul, Turkey, 7(4), 823-844.

Haider, S. M. A., Ali, B., Wang, Q., & Zhao, C. (2021). Stefan blowing impacts on unsteady MHD flow of nanofluid over a stretching sheet with electric field, radiation and activation energy. Coatings, 11, 1048.

Iva, L. M., Hasan, M. S., Paul, S. K., & Mondal, R. N. (2018). MHD free convection heat and mass transfer flow over a vertical porous plate in a rotating system with hall current, heat source and suction. International Journal of Advances Applied Mathematics and Mechanics, 6(1), 49-64.

Khan, M. N., Ali, R., Ahmad, H., Abbas, N., Mousa, A. A. A., & Galal, A. M. (2021). Thermal and chemically reactive features of Casson nanofluid flow with thermophoresis and Brownian effect over an exponentially stretching surface. J Process Mechanical Engineering, 1–16.

Mahmood, T., Iqbal, Z., Ahmed, J., Shazad, A., & Khan, M. (2017). Combined effect of magnetohydrodynamics and radiation on nano Sisko fluid towards a nonlinear stretching sheet, Results in physics, 7, 2458-2469.

Makkar, V., & Poply, V. (2021). Impact of outer velocity on flow, heat and mass transfer of Casson nanofluid over a non-linear stretching sheet. Journal of Thermal Engineering, 7(6), 1353–1365.

Makkar, V., Poply, V., Goyal, R., & Sharma, N. (2021). Numerical investigation of MHD Casson nanofluid flow towards a non-linear stretching sheet in presence of double-diffusive effects along with viscous and ohmic dissipation. Journal of Thermal Engineering, Yildiz Technical University Press, Istanbul, Turkey, 7(2), 1-17.

Muntazir, R. MA., Mushtaq, M., Shahzadi, S., & Jabeen, K. (2021). MHD nanofluid flow around a permeable stretching sheet with thermal radiation and viscous dissipation. J Mechanical Engineering Science, 0(0) 1–16.

Ragupathi, P., Saranya, S., Mittal, H. V. R., & Al-Mdallal, Q. M. (2021). Computational study on three-dimensional convective Casson nanofluid flow past a stretching sheet with Arrhenius activation energy and exponential heat source effects. Hindawi Complexity Volume 2021, Article ID 5058751, 16.

Ramzan, M., Dawar, A., Saeed, A., Kumam, P., Watthayu, W., & Kumam, W. (2021). Heat transfer analysis of the mixed convective flow of magnetohydrodynamic hybrid nanofluid past a stretching sheet with velocity and thermal slip conditions. PLoS ONE 16(12): e0260854.

Raza, J., Dero, S., Lund, L. A., & Omar, Z. (2021). Duality and stability of MHD Darcy-Forchheimer porous medium flow of rotating nanofluid on a linear shrinking/stretching sheet: Buongiorno model. International Journal of Numerical Methods for Heat & Fluid Flow © Emerald Publishing Limited, 0961-5539.

Reddy, S. J., Valsamy, P., & Reddy, D. S. (2021). Radiation and heat source/sink effects on MHD Casson fluid flow over a stretching sheet with slip conditions. Journal of Mathematical and Computational Science, 11(5), 6541-6556.

Sahoo, A., & Nandkeolyar, R. (2021). Entropy generation and dissipative heat transfer analysis of mixed convective hydromagnetic flow of a Casson nanofluid with thermal radiation and Hall current. Scientific Reports| (2021) 11:3926.

Shankaralingappa, B. M., Madhukesh, J. K., Sarris, I. E., Gireesha, B. J., & Prasannakumara, B. C. (2021). Influence of Thermophoretic Particle Deposition on the 3D Flow of Sodium Alginate-Based Casson Nanofluid over a Stretching Sheet. Micromachines, 12, 1474.

Thirupathi, G., Govardhan, K., & Narender, G. (2021). Radiative magnetohydrodynamics Casson nanofluid flow and heat and mass transfer past on nonlinear stretching surface. Journal of Advanced Research in Numerical Heat Transfer, 6(1), 1–21.