## A Numerical Evolution of MHD Maxwell Fluid Flow through an Isothermal Radiated Stretching Sheet with Higher Order Chemical Reaction

M. A. Gazi

Mathematics Discipline, Science, Engineering and Technology School, Khulna University, Khulna - 9208, Bangladesh.

U. K. Suma

Department of Mathematics, Bangladesh University, Dhaka - 1207, Bangladesh.

M. Katun

Department of Mathematics, Bangladesh University, Dhaka - 1207, Bangladesh.

Md. Taibur Rahaman

Department of Mathematics, Rajuk Uttara Model College, Dhaka - 1230, Bangladesh.

Rajib Biswas *

Department of Mathematics, Bangladesh University, Dhaka - 1207, Bangladesh.

Sarder Firoz Ahmmed

Mathematics Discipline, Science, Engineering and Technology School, Khulna University, Khulna - 9208, Bangladesh.

*Author to whom correspondence should be addressed.

### Abstract

Numerical evaluation is performed on an MHD stream of a Maxwell fluid preceding a stretching sheet in the effects of the heat source and chemical reaction. The governing partial differential equations are transformed into dimensionless momentum, energy, and concentration equations and are solved numerically by using the explicit finite difference method (EFDM) by applying the Compact Visual FORTRAN 6.6 programming algorithm. Stability and convergence test are investigated aimed at the accuracy of the scheme. Through the initial and boundary conditions and for

the scheme is concentrated for Prandtl number respectively. The executed outcomes are obtained for the values of different dimensionless parameters on velocity, temperature, and concentration profiles besides the skin friction coefficient, Nusselt number, Sherwood number, isotherms and streamlines, respectively. Our main aim is to find out the behavior of the flow characteristic of the Maxwell parameter. At the termination, the behavior of outgoing parameters is marked by using graphics software TECPLOT-9 and discussed with the help of graphs.

Keywords: MHD, Nanofluids, Chemical Reaction, Stretching Sheet and Radiation

**How to Cite**

*Asian Journal of Pure and Applied Mathematics*,

*4*(1), 464–488. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1634

### Downloads

### References

Buongiorno J. Convective transport in nanofluids. J Heat Transf. 2006;128(3):240-50.

DOI: 10.1115/1.2150834.

Crane LJ. Flow past a stretching sheet. J Appl Math Phys (ZAMP). 1970;21(4):645-7.

DOI: 10.1007/BF01587695.

Mondal M, Biswas R, Hasan M, Bulbul MdF, Ahmmed SF. Soret effect on MHD unsteady heat and mass transfer of Prandtl fluid flow past an exponentially vertical plate. Model Meas Control B. 2019;88(2-4):57-63.

DOI: 10.18280/mmc_b.882-408.

Gazi MA, Gharami PP, Biswas R, Ahmmed SF. Thermo-diffusion and diffusion thermo-effects of chemically reactive Maxwell fluid flow over a stretching sheet in the presence of nanoparticles. Model Meas Control B. 2020;88(2-4):114-24.

Hasan M, Biswas R, Mondal M, Ahmmed SF, Shanchia Kazi. One dimensional mass transfer effects on transient free convection flow with vertical porous plate. Adv Sci Eng Med. 2019;11(12):1249-60.

DOI: 10.1166/asem.2019.2471.

Biswas R, Mondal M, Hossain S, Urmi KaziF, Suma UK, Katun M. A numerical investigation with hydromagnetic stability convergence analysis on unsteady heat and mass transfer fluid flow through a vertical porous plate. Adv Sci Eng Med. 2019;11(8):687-96.

DOI: 10.1166/asem.2019.2411.

Afikuzzaman M, Alam MM. MHD Casson fluid flow through a parallel plate. Sci Technol Asia. 2016;21(1):59-70.

Fetecau C, Ellahi R, Sait SM. Mathematical analysis of Maxwell fluid flow through a porous plate channel induced by a constantly accelerating or oscillating wall. Mathematics. 2021;9(1):2-13.

DOI: 10.3390/math9010090.

Biswas R, Hasan M, Rana BMJ, Ahmmed SF. MHD free convection Maxwell nanofluid flow through an exponentially accelerated vertical surface in the presence of radiation. AIP Conf Proc. 2019;2121:030007.

Biswas R, Mondal M, Sarkar DR, Ahmmed SF. Effects of radiation and chemical reaction on MHD unsteady heat and mass transfer of Casson fluid flow past a vertical plate. J Adv Math Comput Sci. 2017;23(2):1-16.

DOI: 10.9734/JAMCS/2017/34292.

Wahiduzzaman M, Tajul Islam Md, Sultana P, Afikuzzaman M. MHD Couette flow of a Casson fluid between parallel porous plates, Progress in Nonlinear Dynamics and Chaos. 2014;2:51-60.

Azimi M, Ganji DD, Abbassi F. Study on MHD viscous flow over a stretching sheet using DTM-Pade technique. Mod Mech Eng. 2012;02(4):126-9.

DOI: 10.4236/mme.2012.24016.

Nadeem S, Haq RU, Khan ZH, Akbar NS. Thermal radiation and slip effects on MHD stagnation point flow of nanofluid over a stretching sheet. Phys E Low Dimensional Syst Nanostruct. 2014;65:17-23.

Abbas Z, Javed T, Ali N, Sajid M. Flow and heat transfer of Maxwell fluid over an exponentially stretching sheet. J Heat Transf. 2014;43(3):233-42.

Z. Hussain, R. Zeesahan, M. Shahzad, M. Ali, F. Sultan, A. M. Anter, H. Zhang, and N. Khan: optimised stability model for the magnetohydrodynamic fluid. Pramana. 2021;27:1-15.

Safdar R, Jawad M, Hussain S, Imran M, Akgül A, Jamshed W. Thermal radiative mixed convection flow of MHD Maxwell nanofluid: implementation of buongiorno’s model. Chin J Phys. 2022;77:1465-78.

DOI: 10.1016/j.cjph.2021.11.022.

Mustafa M, Hayat T, Alsaedi A. Simulations for Maxwell fluid flow past a convectively heated exponentially stretching sheet with nanoparticles, American Institute of Physics Advances. 2015;5:037133.

Faysal K, Alam MM. Unsteady Casson fluid flow through a parallel plates with hall current, joule heating and viscous dissipation. Amse Journals. 2015;84(1):1-22.

Ahmmed SF, Biswas R. Effects of radiation and chemical reaction on MHD unsteady heat and mass transfer of nanofluid flow through a vertical plate. Model Meas Control B. 2018;87(4):213-20.

DOI: 10.18280/mmc_b.870401.

Biswas R, Ahmmed SF. Effects of Hall current and chemical reaction on MHD unsteady heat and mass transfer of Casson nanofluid flow through a vertical plate. J Heat Transf. 2018;140(9):092402.

DOI: 10.1115/1.4039909.

Afikuzzaman Md, Ferdows M, Quadir RA, Alam MdM. MHD Viscous incompressible Casson fluid flow with hall current. J Adv Res Fluid Mech Therm Sci. 2019;260:270-82.

Ahmmed SF, Biswas R, Afikuzzaman M. Unsteady magnetohydrodynamic free convection flow of nanofluid through an exponentially accelerated inclined plate embedded in a porous medium with variable thermal conductivity in the presence of radiation. J Nanofluids. 2018;7(5):891-901.

DOI: 10.1166/jon.2018.1520.

Biswas R, Mondal M, Islam A. A steady MHD natural convection heat transfer fluid flow through a vertical surface in the existence of Hall current and radiation, Instrumentation, Mesure, Métrologie. 2019;2:331-56.

Mondal M, Biswas R, Hasan M, Shanchia Kazi, Ahmmed SF. Numerical investigation with stability convergence analysis of chemically hydromagnetic casson nanofluid flow in the effects of thermophoresis and Brownian motion. Int J Heat Technol. 2019;37(1):59-70.

Biswas R, Afikuzzaman M, Mondal M, Ahmmed SF. MHD free convection and heat transfer flow through a vertical porous plate in the presence of chemical reaction. Front Heat Mass Transf. 2018;11:13.

Aliakbar V, Alizadeh-Pahlavan A, Sadeghy K. The influence of thermal radiation on MHD flow of maxwellian fluids above stretching sheets. Commun Nonlinear Sci Numer Simul. 2009;14(3):779-94.

DOI: 10.1016/j.cnsns.2007.12.003.

Mamun A, Arifuzzaman SM, SK. Reza-E-Rabbi. P. Biswas and M.S. Khan: computational modeling on MHD radiative Sisko nanofluids flow through a nonlinearly stretching sheet. Int J Heat Technol. 2019;37(1):285-95.

Arifuzzaman SM, Khan MS, Islam MS, Ahmed SF. MHD Maxwell fluid flow in the presence of nanoparticle through a vertical porous-plate with heat-generation, radiation absorption and chemical reaction. Front Heat Mass Transf. 2019;9:25.

Afikuzzaman M, Ferdows M, Alam MM. Unsteady MHD Casson fluid flow through a parallel plate with hall current. Procedia Eng. 2015;105:287-93.

DOI: 10.1016/j.proeng.2015.05.111.

Biswas R, Hasan M, Mondal M, Kazi Shanchia FB, Ahmmed SF. A numerical superintendence with stability exploration of casson nanofluid flow in the effects of variable thermal conductivity and radiation. Adv Sci Eng Med. 2019;11(8):697-707.

Reddy PBA, Suneetha S, Reddy NB. Numerical study of magnetohydrodynamics (MHD) boundary layer slip flow of a Maxwell nanofluid over an exponentially stretching surface with convective boundary condition. Propul Power Res. 2017;6(4):259-68.

DOI: 10.1016/j.jppr.2017.11.002.

Kumar B, Seth GS, Nandkeolyar R, Chamkha AJ. Outlining the impact of induced magnetic field and thermal radiation on magneto-convection flow of dissipative fluid. Int J Therm Sci. 2019;146.

DOI: 10.1016/j.ijthermalsci.2019.106101.

Kumar B, Seth GS, Nandkeolyar R. Regression model and successive linearization approach to analyse stagnation point micropolar nanofluid flow over a stretching sheet in a porous medium with nonlinear thermal radiation. Phys Scr. 2019;94(11).

DOI: 10.1088/1402-4896/ab2078.

Kumar B, Seth GS. MHD stagnation point transient flow of a nanofluid past a stretching sheet: SRM approach. Lat Am Appl Res. 2019;49(3):205-11.

DOI: 10.52292/j.laar.2019.77.

Hafeez MB, Khan MS, Qureshi IH, Alebraheem J, Elmoasry A. Particle rotation effects in Cosserat-Maxwell boundary layer flow with non-Fourier heat transfer using a new novel approach. Sci Iran. 2021;28(3):1223-35.

Khan SM, Hammad M, Batool S, Kaneez H. Investigation of MHD effects and heat transfer for the upper-convected Maxwell (UCM-M) micropolar fluid with Joule heating and thermal radiation using a hyperbolic heat flux equation. Eur Phys J Plus. 2017;132(4):158.

DOI: 10.1140/epjp/i2017-11428-6.

Khan SM, Hammad M, Sunny DA. Chemical reaction, thermal relaxation time and internal material parameter effects on MHD viscoelastic fluid with internal structure using the Cattaneo-Christov heat flux equation. Eur Phys J Plus. 2017;132(8):338.