Journal of Numerical Analysis and Applied Mathematics
Articles Information
Journal of Numerical Analysis and Applied Mathematics, Vol.2, No.2, Mar. 2017, Pub. Date: Sep. 18, 2017
Numerical Solutions of Double-Diffusive Natural Convection Flow of MHD Casson Fluid over a Stretching Vertical Surface with Thermal Radiation
Pages: 6-14 Views: 61 Downloads: 78
[01] K. Ganesh Kumar, Department of Studies and Research in Mathematics, Kuvempu University, Shimoga, Karnataka, India.
[02] G. K. Ramesh, Department of Mathematics, School of Engineering, Presidency University, Bengaluru, Karnataka, India.
[03] B. J. Gireesha, Department of Studies and Research in Mathematics, Kuvempu University, Shimoga, Karnataka, India.
This investigation deals with an influence of thermal radiation effect on a double-diffusive convection flow of MHD Casson fluid over a stretching vertical surface. The governing partial differential equations are remodeled into ordinary differential equations by using similarity transformation. The ensuing differential equations are resolved numerically by using Runge-Kutta-Fehlberg forth-fifth technique (RKF45 Method). The results of flow and heat analysis on velocity and temperature profiles are given diagrammatically. The numerical values of the local skin friction coefficient, local Nusselt number and local Sherwood number also are shown in a tabular form. Results shows that Casson parameter enhance the velocity and suppress the temperature, concentration fields but opposite effect can be found the presence of Buoyancy force.
Casson Fluid, Double-Diffusive Convection, Thermal Radiation, Magnetic Field, Vertical Surface
[01] WMKay, Convective Heat and Mass Transfer, McGraw-Hill, New York, 1966.
[02] R Cortell, Combined effects of viscous dissipation and thermal radiation on fluid flows over a non-linearly stretched permeable wall. Meccanica, 2012, 477, 769–81.
[03] GK Ramesh, BJ Gireesha, T Hayat, and A Alsaedi, Stagnation point flow of Maxwell fluid towards a permeable surface in the presence of nanoparticles, Alexandria Engineering Journal, 2016, 53, 857-65.
[04] T Hayat and M Qasim, Influence of thermal radiation and Joule heating on MHD flow of a Maxwell fluid in the presence of thermophoresis, Int. J. Heat and Mass Transfer, 2010, 53, 4780–88.
[05] G Makanda, S Shaw and P Sibanda, Effects of radiation on MHD free convection of a Casson fluid from a horizontal circular cylinder with partial slip in non-Darcy porous medium with viscous dissipation, Boundary Value Problems 2015, 2015, 75, 1-14.
[06] GK Ramesh and BJ Gireesha, Flow over a stretching sheet in a dusty fluid with radiation effect, ASME J. Heat transfer, 2013,135(10), 102702(1-6).
[07] P Bala and A Reddy, Magnetohydrodynamic flow of a Casson fluid over an exponentially inclined permeable stretching surface with thermal radiation and chemical reaction, Ain Shams Engineering Journal, 2016, 7(2), 593–602.
[08] GK Ramesh, BJ Gireesha andCS Bagewadi, Stagnation point flow of a MHD dusty fluid towards a stretching sheet with radiation, Afrika Matematika,2014, 25 (1), 237-249.
[09] L Zheng, C Zhang, X Zhang and J Zhang, Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium, Journal of the Franklin Institute, 2013, 350(5), 990–1007.
[10] SNGaikwad, MSMalashetty and KR Prasad, An analytical study of linear and non-linear double diffusive convection with Soret and Dufour effects in couple stress fluid, Int. J. Non-Linear Mech., 2007, 42, 903–13.
[11] AMahdy, Soret and Dufour effect on double diffusion mixed convection from vertical surface in a porous medium saturated with a non-Newtonian fluid, J. Non-Newton. Fluid Mech., 2010, 165, 568–75.
[12] WA Khan and A Aziz, Double-diffusive natural convective boundary layer flow in porous medium saturated with a nanofluid over a vertical plate: prescribed surface heat, solutal and nanoparticle fluxes, Int. J. Therm. Sci., 2011, 726, 2154–160.
[13] AV Kuznetsov and DA Nield, The Cheng–Minkowycz problem for the double-diffusive naturalconvective boundary layer flow in a porous medium saturated by a nanofluid, Int. J. Heat and Mass Transfer, 2011, 54, 374–78.
[14] A Abidi, LKolsi, MN Borjini and HBAissia, Effect of radiative heat transfer on three-dimensional double diffusive natural convection, Numerical Heat Transfer, Part A: applications: An Int. J. Computation and Methodology, 2011, 60(9), 785-809.
[15] SV Subhashini, RSumathi and I Pop, Dual solutions in a double-diffusive MHD mixed convection flow adjacent to a vertical plate with prescribed surface temperature, Int. J. Heat and Mass Transfer, 2013, 56, 724-731.
[16] OA Beg, MJUddin, MM Rashidi and NKavyani, Double-diffusive radiative magnetic mixed convective slip flow with Biot and Richardson number effects, J. Eng. Therm. phys., (2014) 23(2), 79–97.
[17] M Goyal and RBhargava, Finite element solution of double diffusive boundary layer flow of viscoelastic nanofluids over a stretching sheet, Comput. Math. and Mathematical Phys., 2014, 54(5), 848–63.
[18] WL Wilkinson, Non-Newtonian fluids, Pergamon, NewYork, 1960.
[19] WP Walwander, TY Chen and DF Cala, An approximate Casson fluid model for tube flow of blood, Bio-Rheology, 1975,12, 111-19.
[20] DDJoye, Shear rate and viscosity corrections for a Casson fluid in cylindrical (Couette) geometries, Journal of Colloid and Interface Science, 2003, 267, 204-10.
[21] T Hayat, SA Shehzad and A Alsaedi, Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid, Applied Mathematics and Mechanics, 2012, 33, 1301-12.
[22] T Hayat, SAShehzad, A Alsaedi and MSAlhothuali, Mixed convection stagnation point flow of Casson fluid with convective boundary conditions, Chinese Physics Letters, 2012, 29, 114704.
[23] KBhattacharyya, MHD stagnation-point flow of Casson fluid and heat transfer over a stretching sheet with thermal radiation, Journal of Thermodynamics, 2013, 2013, 169674.
[24] MH Abolbashari, NFreidoonimehr, F Nazari and MMRashidi, Analytical modeling of entropy generation for Cassonnano-fluid flow induced by a stretching surface, Advanced Powder Technology, 2015, 26, 542-52.
[25] S Maity, SK Singh and AV Kumar, Unsteady three dimensional flow of Casson liquid film overa porous stretching sheet in the presence of uniform transverse magnetic field and suction/injection, Journal of Magnetism and Magnetic Materials,2016, 419, 292-300.
[26] Z Abbas, M Sheikh and SS Motsa, Numerical solution of binary chemical reaction on stagnation point flow of Casson fluid over a stretching/shrinking sheet with thermal radiation, Energy, 2016, 95, 12-20.
[27] R UlHaq, S Nadeem, ZH Khan and TG Okedayo, Convective heat transfer and MHD effects on Cassonnanofluid flow over a shrinking sheet, Cent. Eur. J. Phys., 2014, 12(12), 862-71.
[28] GK Ramesh, BC Prasanna Kumara, BJ Gireesha and MM Rashidi, Casson fluid flow near the stagnation point over a stretching sheet with variable thickness and radiation, Journal of Applied Fluid Mechanics, 2016, 9(3),1115-22.
MA 02210, USA
AIS is an academia-oriented and non-commercial institute aiming at providing users with a way to quickly and easily get the academic and scientific information.
Copyright © 2014 - 2017 American Institute of Science except certain content provided by third parties.