Aiding and opposing of mixed convection Casson nanofluid flow with chemical reactions through a porous Riga plate

Abstract

In the present study, simultaneous effects of the chemical reaction and electromagnetohydrodynamic on the Casson nanofluid over porous Riga plate has been investigated. The governing flow problem consists of linear momentum, thermal energy, and nanoparticle concentration equation, which is modeled with the help of Oberbeck–Boussinesq approximation. Shooting method is employed to obtain the solution of the resulting nonlinear coupled ordinary differential equation. The behavior of the velocity profile, temperature profile, and nanoparticle concentration profile are discussed against modified Hartman number, porosity parameter, chemical reaction parameter, Prandtl number, Brownian motion parameter, thermophoresis parameter, Schmidt number, nanoparticle flux parameter, and Richardson number, respectively. The governing flow is also discussed for aiding and opposing flow by considering the negative and positive values of the modified Hartman number. The Nusselt number and Sherwood number are also computed numerically. Moreover, it is also found that the porosity parameter also enhances the velocity profile. A numerical comparison is also presented with previously published results to ensure the validity of the current methodology and results.

Keywords

Casson nanofluid chemical reaction porous medium shooting method Riga plate

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References

Fung

. Biodynamics: Circulation, New York: Springer, 1984. .

Dash

Mehta

Jayaraman

. Casson fluid flow in a pipe filled with a homogeneous porous medium. Int J Eng Sci 1996; 34: 1145–1156.

Nadeem

Haq

Lee

. MHD flow of a Casson fluid over an exponentially shrinking sheet. Scient Iran 2012; 19: 1550–1553.

Hayat

Shehzad

Alsaedi

. Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid. Appl Math Mech 2012; 33: 1301–1312.

Hayat

Shehzad

Alsaedi

et al.

Mixed convection stagnation point flow of Casson fluid with convective boundary conditions. Chin Phys Lett 2012; 29: 114704.

Mukhopadhyay

Bhattacharyya

et al.

Casson fluid flow over an unsteady stretching surface. Ain Shams Eng J 2013; 4: 933–938.

Mustafa

Hayat

Pop

et al.

Stagnation-point flow and heat transfer of a Casson fluid towards a stretching sheet. Z Naturforsch A Phys Sci 2012; 67: 70–76.

Mukhopadhyay

. Casson fluid flow and heat transfer over a nonlinearly stretching surface. Chin Phys B 2013; 22: 074701.

Pramanik

. Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation. Ain Shams Eng J 2014; 5: 205–212.

10.

Bhattacharyya

Hayat

Alsaedi

. Exact solution for boundary layer flow of Casson fluid over a permeable stretching/shrinking sheet. ZAMM Z Angew Math Mech 2014; 94: 522–528.

11.

Hussanan

Salleh

Tahar

et al.

Unsteady boundary layer flow and heat transfer of a Casson fluid past an oscillating vertical plate with Newtonian heating. PloS One 2014; 9: e108763.

12.

Choi

SUS

. Enhancing thermal conductivity of fluids with nanoparticles. ASME-Publ-Fed 1995; 231: 99–106.

13.

Ellahi

Hassan

Zeeshan

. Shape effects of nanosize particles in Cu–H2O nanofluid on entropy generation. Int J Heat Mass Transfer 2015; 81: 449–456.

14.

Bhatti

Rashidi

. Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet. J Mol Liq 2016; 221: 567–573.

15.

Bhatti

Abbas

Rashidi

et al.

Numerical simulation of entropy generation with thermal radiation on MHD Carreau nanofluid towards a shrinking sheet. Entropy 2016; 18: 200.

16.

Sheikholeslami

Ellahi

. Three dimensional mesoscopic simulation of magnetic field effect on natural convection of nanofluid. Int J Heat Mass Transfer 2015; 89: 799–808.

17.

Sheikholeslami

Ellahi

. Electrohydrodynamic nanofluid hydrothermal treatment in an enclosure with sinusoidal upper wall. Appl Sci 2015; 5: 294–306.

18.

Imtiaz

Hayat

Hussain

et al.

Mixed convection flow of nanofluid with Newtonian heating. Euro Phys J 2014; 129: 1–11.

19.

Bhatti

Abbas

Rashidi

et al.

Entropy generation on MHD Eyring–Powell nanofluid through a permeable stretching surface. Entropy 2016; 18: 224.

20.

Bhatti

Abbas

Rashidi

et al.

Numerical simulation of entropy generation with thermal radiation on MHD Carreau nanofluid towards a shrinking sheet. Entropy 2016; 18: 200.

21.

Ellahi

Aziz

Zeeshan

. Non-Newtonian nanofluid flow through a porous medium between two coaxial cylinders with heat transfer and variable viscosity. J Porous Media 2013; 16: 205–216.

22.

Sheikholeslami

Ellahi

Hassan

et al.

A study of natural convection heat transfer in a nanofluid filled enclosure with elliptic inner cylinder. Int J Numer Method 2014; 24: 1906–1192.

23.

Zeeshan

Baig

Ellahi

et al.

Flow of viscous nanofluid between the concentric cylinders. J Comput Theor Nanosci 2014; 11: 646–654.

24.

Gailitis

Lielausis

. On a possibility to reduce the hydrodynamic resistance of a plate in a electrolyte. Appl Magnetohydrodyn 1961; 12: 143–146.

25.

Grinberg

. On determination of properties of some potential fields. Appl Magnetohydrodyn 1961; 12: 147–154.

26.

Magyari

Pantokratoras

. Aiding and opposing mixed convection flows over the Riga-plate. Commun Nonlinear Sci 2011; 16: 3158–3167.

27.

Ayub

Abbas

Bhatti

. Inspiration of slip effects on electromagnetohydrodynamics (EMHD) nanofluid flow through a horizontal Riga plate. Euro Phys J 2016; 131: 1–9.

28.

Bhatti

Abbas

Rashidi

. Effects of thermal radiation and Electromagnetohydrodynamic on viscous nanofluid through a riga plate. Multidisc Model Mater Struct 2016; 12: 605–618.

29.

Ahmad

Asghar

Afzal

. Flow of nanofluid past a Riga plate. J Magn Magn Mater 2016; 402: 44–48.

30.

Abbas

Ayub

Bhatti

et al.

Entropy generation on nanofluid flow through a horizontal Riga plate. Entropy 2016; 18: 223.