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Numerical investigation of the stagnation point flow of radiative magnetomicropolar liquid past a heated porous stretching sheet

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Abstract

In this paper, we have investigated the two-dimensional magnetohydrodynamic steady boundary layer flow of a viscous magnetomicropolar liquid via an extending area. The impact of heat sink/source and chemical reaction is considered. The governing equations are modeled in Cartesian coordinate system. Using the suitable similarity transformations, the partial differential equations system is changed into the nonlinear ordinary differential equations system. The resulting system of equations is solved via mathematical renowned software Mathematica. The impact of diverse parameters through microrotation, concentration, temperature and velocity is examined via graphs. The present study reveals that the velocity is rising function of Soret number, Richardson number and Grashof number. It is mentioned that the greater velocity is located in the case of Newtonian liquid in contrast with the micropolar liquid. In the absence of chemical reaction parameter, the velocity is more as compared with higher chemical reaction parameter. Radiation, Hartmann and chemical reaction parameters augment the temperature. Concentration is a reducing function of radiation, Hartmann and chemical reaction parameters.

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Abbreviations

\(B_{0}\) :

Magnetic field strength [Tesla]

C :

Concentration of the liquid [mol m−3]

\(C_{\rm p}\) :

Specific heat at constant pressure [J kg−1 K−1]

\(c_{\rm s}\) :

Concentration susceptibility

D :

Mass diffusivity coefficient [m2 s−1]

\(Du\) :

Dufour number [–]

j :

Microinertia density [J m−3]

\(g\) :

Acceleration due to gravity [m s−2]

\(K_{\rm T}\) :

Thermal diffusive ratio [–]

\(k^{*}\) :

Mean absorption coefficient [m−1]

\(K_{\rm c}^{*}\) :

Reaction rate [mol m−3 s−1]

\(K_{\rm p}^{*}\) :

Permeability parameter [m2]

\(M\) :

Hartmann number [–]

N :

Microrotation vector

\(Pr\) :

Prandtl number [–]

\(q_{\rm r}\) :

Dimensional radiative heat flux [W m−2]

\(R\) :

Radiation parameter [–]

\(Sc\) :

Schmidt number [–]

\(Sr\) :

Soret number [–]

T :

Fluid temperature [K]

\(T_{\infty }\) :

Free-stream temperature [K]

\(u,~v\) :

Velocity components [m s−1]

\(\alpha\) :

Thermal diffusivity [m2 s−1]

\(\upsilon\) :

Kinematic [m2 s−1]

\(\beta _{\rm c}\) :

Concentration expansion coefficient [K−1]

\(\beta _{\rm T}\) :

Thermal expansion coefficient [K−1]

\(\gamma\) :

Chemical reaction parameter [–]

\(\sigma\) :

Electrical conductivity [S m−1]

\(\mu\) :

Dynamic viscosity [kg m−1 s−1]

\(\rho\) :

Fluid density [kg m−3]

\(\kappa\) :

Vortex viscosity

\(\psi\) :

Stream function [–]

\(\sigma _{1}\) :

Stefan–Boltzmann constant [W m−2 K−4]

\(\Gamma\) :

Micropolar fluid parameter

\(\theta\) :

Temperature [–]

\(\lambda\) :

Richardson number [–]

\(\delta\) :

Concentration Grashof number [–]

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia, for funding this work through the Research Group under grant number (R.G.P.2/50/ 42).

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Authors and Affiliations

  1. Mathematics Department, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune, 412115, India

    A. S. Warke & K. Ramesh

  2. Department of Physics, Faculty of Sciences, University of 20 Août 1955‐Skikda, Skikda, 21000, Algeria

    F. Mebarek-Oudina

  3. Physics Department, College of Sciences Abha, King Khalid University, Abha, Saudi Arabia

    A. Abidi

  4. Research Laboratory of Metrology and Energy Systems, National Engineering School, Energy Engineering Department, Monastir University, Monastir, Tunisia

    A. Abidi

  5. Higher School of Sciences and Technology of Hammam Sousse, Sousse University, Sousse, Tunisia

    A. Abidi

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Warke, A.S., Ramesh, K., Mebarek-Oudina, F. et al. Numerical investigation of the stagnation point flow of radiative magnetomicropolar liquid past a heated porous stretching sheet. J Therm Anal Calorim 147, 6901–6912 (2022). https://doi.org/10.1007/s10973-021-10976-z

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