Mariam Sheikh, Jafar Hasnain, Nomana Abid, Zaheer Abbas

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In this analysis, the MHD flow and nth-order dispersion of chemically reactive species over a slendering stretching sheet are studied numerically. The partial slip boundary condition and non-linear form of thermal radiation are also considered in this research. To get non-linear ordinary differential equations from the system of partial differential equations governing the flow, energy, and concentration, similarity transformations are applied. Using the shooting technique and the Runge-Kutta scheme, the resultant equations are integrated numerically. The numerical results in terms of temperature, velocity, and concentration are represented graphically. Results from this research indicate that an increase in the wall thickness parameter reduces momentum and heat transfer effects when a magnetic field is present.


Chemically reactive fluid, MHD slip flow, slendering stretching sheet, non-linear Rosseland thermal radiation.

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M. S. Abdel-Wahed, E. M. A. Elbashbeshy and T. G. Emam: Flow and heat transfer over a moving surface with non-linear velocity and variable thickness in a nanofluid in the presence of Brownian motion. Appl. Math. Comput. 254, (2015), 49-62.

N. Acharya, K. Das and P. K. Kundu: Ramification of variable thickness on MHD TiO2 and Ag nanofluid flow over a slendering stretching sheet using NDM. The European Physical J. Plus. 131 (2016), 1-16.

A. Aziz: Hydrodynamic and thermal slip flow boundary layer over a flat plate with constant heat flux boundary condition. Commun. Non-linear Sci. Numer. Simul. 15, (2010), 573580.

M. J. Babu and N. Sandeep: MHD non-Newtonian fluid flow over a slendering stretching sheet in the presence of cross-diffusion effects. ALEX. ENG. J. 55 (2016), 2193-2201.

M. J. Babu and N. Sandeep: Three-dimensional MHD slip flow of nanofluids over a slendering stretching sheet with thermophoresis and Brownian motion effects. ADV. POWDER TECHNOL. 27 (2016), 2039-2050.

M. J. Babu and N. Sandeep: 3D MHD slip flow of a nanofluid over a slendering stretching sheet with thermophoresis and Brownian motion effects. J. Mol. Liq. 222 (2016), 1003-1009.

M. J. Babu, N. Sandeep, M. E. Ali and A. O. Nuhait: Magnetohydrodynamic dissipative flow across the slendering stretching sheet with temperature dependent variable viscosity. Results Phys. 7 (2017), 1801-1807.

K. Bhattacharyya, S. Mukhopadhyay and G.C. Layek: Steady boundary layer slip flow and heat transfer over a flat porous plate embedded in a porous media. Petroleum Sci. Engn. 78, (2011), 304309.

M. Q. Brewster: Thermal radiative transfer properties. New York: John Wiley and Sons, 1996.

L. J. Crane: Flow past a stretching plate. Z. Angew. Math. Phys. 21 (1970), 645-647.

S. P. A. Devi and M. Prakash: Thermal radiation effects on hydromagnetic flow over a slendering stretching sheet. Brazil. Soc. Mech. Sci. Engng. 38, (2015), 423-431.

T. Fang, J. Zhang and S. Yao: Slip MHD viscous flow over a stretching sheetan exact solution. Commun. Non-linear Sci. Numer. Simul. 14, (2009), 37313737.

T. Fang, J. Zhang and Y. Zhong: Boundary layer flow over a stretching sheet with variable thickness. Appl. Math. Comput. 218 (2012), 7241-7252.

M. Ferdows and M. A. Qasem: Effects of order of chemical reaction on a boundary layer flow with heat and mass transfer over a linearly stretching sheet. Am. J. Fluid Dyn. 2 (2012), 89-94.

J. Hasnain, H.G. Satti, M. Sheikh and Z. Abbas: Study of double slip boundary condition on the oscillatory flow of dusty ferrofluid confined in a permeable channel. Facta Universitatis, Series. 21, (2023), 671-684.

T. Hayat, M. Qasim and S. Mesoub: MHD flow and heat transfer over a permeable stretching sheet with slip conditions. Int. J. Numer. Methods Fluids. 66, (2011), 963-975.

W. Ibrahim and B. Shankar: MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions. Computers and Fluids. 78, (2013), 110.

MM. Khader and A. M. Megahed: Numerical solution for boundary layer flow due to a nonlinearly stretching sheet with variable thickness and slip velocity. Eur. Phys. J. Plus. 128 (2013), 1-7.

L. L. Lee: Boundary layer over a thin needle. Phys. Fluids. 10 (1967), 820-822.

F. Mabood, WA. Khan and AI. Md. Ismail: MHD stagnation point flow and heat transfer impinging on stretching sheet with chemical reaction and transpiration. Chem. Eng. J. 273 (2015), 430-437.

E. Magyari and A. Pantokratoras: Note on the effect of thermal radiation in the linearized Rosseland approximation on the heat transfer characteristics of various boundary layer flows. Int. Commun. Heat Mass Tran. 38, (2011), 554556.

OD. Makinde, K. Zimba and O. A. Beg ´ : Numerical study of chemicallyreacting hydromagnetic boundary layer flow with Soret/Dufour effects and a convective surface boundary condition. IJTEE. 4 (2012), 89-98.

S. M. Mousavi, M. N. Rostami, M. Yousefi and S. Dinarvand: Dual solutions for MHD flow of a water-based TiO2-Cu hybrid nanofluid over a continuously moving thin needle in presence of thermal radiation. Rep. Mech. Eng. 2, (2021), 31-40.

A. Mushtaq, M. Mustafa, T. Hayat and A. Alsaedi: Nonlinear radiative heat transfer in the flow of nanofluid due to solar energy: A numerical study. Int. Commun. J. Taiwan Inst. Chem. Engn. 45, (2014), 11761183.

A. Raptis: Radiation and free convection flow through a porous medium. Int. Commun. Heat Mass Trans. 25, (1998), 28995.

M. M. Rashidi, B. Rostami, N. Freidoonimehr and S. Abbasbandy: Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects. Ain Shams Eng. J. 5 (2014), 901-912.

J. V. R. Reddy, V. Sugunamma and N. Sandeep: Effect of frictional heating on radiative ferrofluid flow over a slendering stretching sheet with aligned magnetic field. The Europ. Phys. J. Plus. 132, (2017), 1-13.

Q. Sajid, T. Hayat and A. Alsaedi: Thermal radiation and heat generation/absorption aspects in third grade magneto-nanofluid over a slendering stretching sheet with Newtonian conditions. Physica B: Condensed Matter. 537, (2018), 139-149.

B. C. Sakiadis: Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow. AICHE J. 7 (1961), 26-28.

E. M. Sparrow and R. D Cess: Radiation heat transfer. Washington: Hemisphere, 1978.

SV. Subhashini, R. Sumathi and I. Pop: Dual solutions in a thermal diffusive flow over a stretching sheet with variable thickness. ICHMT. 48 (2013), 61-66.

C. Y. Wang: Analysis of viscous flow due to a stretching sheet with surface slip and suction. Nonlinear Anal: Real World Appl. 10, (2009), 37580.

C. Y. Wang: Flow due to a stretching boundary with partial slip: an exact solution of Navier Stokes equations. Chem. Eng. Sci. Acta Mech. 57, (2002), 37453747.



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