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Multiple slip effects on MHD non-Newtonian nanofluid flow over a nonlinear permeable elongated sheet: Numerical and statistical analysis

Jawad Raza (School of Quantitative Sciences, Universiti Utara Malaysia, Sintok, Malaysia)
Mushayydha Farooq (University of Lahore, Pakpattan Campus, Pakpattan, Pakistan)
Fateh Mebarek-Oudina (Department of Physics, Faculty of Sciences, University of 20 août 1955-Skikda (Skikda University), Skikda, Algeria)
B. Mahanthesh (Department of Mathematics, Christ University, Bangalore, India)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 18 July 2019

Issue publication date: 8 August 2019




The purpose of this paper is to examine the interaction effects of a transverse magnetic field and slip effects of Casson fluid with suspended nanoparticles over a nonlinear stretching surface. Mathematical modeling for the law of conservation of mass, momentum, heat and concentration of nanoparticles is executed.


Governing nonlinear partial differential equations are reduced into nonlinear ordinary differential equations and then shooting method is employed for its solution. The slope of the linear regression line of the data points is calculated to measure the rate of increase/decrease in the reduced Nusselt number.


The effects of magnetic parameter (0=M=4), Casson parameter (0.1=β<8), nonlinear stretching parameter (0=n=3) and porosity parameter (0=P=6) on axial velocity are shown graphically. Numerical results were compared with another numerical approach and an excellent agreement was observed. This study reveals the fact that the Brownian motion parameter and boundary layer thickness have a direct relationship with temperature. Also, Brownian motion and thermophoresis contribute to an increase in the thermal boundary layer thickness.


Despite the immense significance and repeated employment of non-Newtonian fluids in industry and science, no attempt has been made up till now to inspect the Casson nanofluid flow with a permeable nonlinear stretching surface.



Conflict of interest: all the authors contributed equally and there is no conflict of interest.


Raza, J., Farooq, M., Mebarek-Oudina, F. and Mahanthesh, B. (2019), "Multiple slip effects on MHD non-Newtonian nanofluid flow over a nonlinear permeable elongated sheet: Numerical and statistical analysis", Multidiscipline Modeling in Materials and Structures, Vol. 15 No. 5, pp. 913-931.



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