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ORIGINAL PAPER
Effects of Non-Uniform Heat Generation/Absorption and Radiation on Hydromagnetic Dissipative Flow over a Porous Nonlinear Stretching Surface with Heat and Mass Fluxes
1
Department of Applied Mathematics, Bharathiar University, Coimbatore- 641 046, TamilNadu, India
2
Department of Mathematics, Sri Shakthi Institute of Engineering and Technology, Coimbatore-, 641062, TamilNadu, India
Online publication date: 2019-12-04
Publication date: 2019-12-01
International Journal of Applied Mechanics and Engineering 2019;24(4):36-52
KEYWORDS
ABSTRACT
Forced convective heat and mass transfer flow of hydromagnetic, radiating and dissipative fluid over a porous nonlinear stretching sheet in the presence of non-uniform heat generation/absorption is investigated numerically. The system of nonlinear partial differential equations governing the physical problem is reduced to nonlinear ordinary differential equations by means of suitable similarity transformations and are solved numerically using Nachtsheim Swigert shooting iteration scheme together with fourth order Runge Kutta method. The effects of various physical parameters on velocity, temperature and concentration distributions are depicted graphically. The important findings of this study exhibited that the effect of non-uniform heat generation/absorption parameter and radiation parameter have significant role in controlling thermal boundary layer thickness and temperature. Numerical values of the skin friction coefficient, temperature and concentration at the wall are shown in a tabular form. A comparison is made with previously published data which results in good agreement.
REFERENCES (25)
1.
Sakiadis B.C. (1961a): Boundary layer behavior on continuous solid surface I. – AICHE Journal, vol.7, pp.26-28. Sakiadis B.C. (1961b): Boundary layer behavior on continuous solid surfaces II, boundary layer on a continuous flat surface. – AICHE Journal, vol.7, pp.221-225.
2.
Crane L.J. (1970): Flow past a stretching plate. – Z Angew Math Physics, vol.21, pp.645-647.
3.
Chakrabarti A. and Gupta A.S. (1979): Hydromagnetic flow and heat transfer over a stretching sheet. – Quarterly of Applied Mathematics, vol.37, pp.73-78.
4.
Gupta P.S. and Gupta A.S. (1997): Heat and mass transfer on a stretching sheet with suction or blowing. – Canadian Journal of Chemical Engineering, vol.55, pp.744–746.
5.
Ali M.E. (1994): Analysis on the heat transfer over a continuous stretching surface. – Wärme und Stofffübertragung, vol. 29, pp.227-234.
6.
Chiam T.C. (1995): Hydromagnetic flow over a surface stretching with a power-law velocity. – International Journal of Engineering Science, vol.33, pp.429-435.
7.
Elsayed M.A. and Elbashbeshy (1998): Heat transfer over a stretching surface with variable surface heat flux. – Journal of Physics. D Applied Physics, vol.31, pp.1951-1954.
8.
Anjali Devi S.P. and Ganga B. (2008): MHD nonlinear flow and heat transfer over a stretching porous surface of constant heat flux. – Computer Assisted Mechanics and Engineering Sciences, vol.15, pp.15-22.
9.
Rapits A. and Massalas C.V. (1998): Magnetohydrodynamic flow past a plate by the presence of radiation. – Heat and Mass Transfer, vol.34, pp.107.
10.
Raptis A., Perdikis C. and Takhar H.S. (2004): Effect of thermal radiation on MHD flow. – Applied Mathematics and Computation, vol.153, pp.645-49.
11.
Abbas Z. and Hayat T. (2008): Radiation effect on MHD flow in a porous space. – International journal of Heat and Mass Transfer, vol.51, No.5, pp.1024-1033.
12.
Gebhart B. (1962): Effects of viscous dissipation in natural convection. – Journal of Fluid Mechanics, vol.14, pp.225-232.
13.
Vajravelu K. and Hadjinicolaou A. (1993): Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation. – Internal Communication Heat Mass Transfer, vol.20, No.3, pp.417–30.
14.
Cortell R. (2008): Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet. – Physics Letters A, vol.372, No.5, pp.631-636.
15.
Bataller R.C. (2008): Similarity solutions for boundary layer flow and heat transfer of a FENE-P fluid with thermal radiation. – Physics Letters A, vol.372, pp.2431-2439.
16.
Anjali Devi S.P. and Ganga B. (2010): Dissipation effects on MHD nonlinear flow and heat transfer past a porous surface with prescribed heat flux. – Journal of Applied Fluid Mechanics, vol.3, No.1, pp.1-6.
17.
Jamaludin M.A., Nazar R. and Shafie S. (2017): Numerical solution of heat transfer past a stretching sheet with viscous dissipation and internal heat generation with prescribed surface temperature. – AIP Conference Proceedings vol.1830, 020058.
18.
Emad M. Abo-Eldahab and Mohamed A. El Aziz (2004): Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption. – International Journal of Thermal Science vol.43, pp.709-719.
19.
Anjali Devi S.P., Agneeshwari M. and Wilfred Samuel Raj J. (2018): Radiation effects on MHD boundary layer flow and heat transfer over a nonlinear stretching surface with variable wall temperature in the presence of nonuniform heat source/sink. – International Journal of Applied Mechanics and Engineering, vol.23, pp.289-305.
20.
Ganga B. and Anjali Devi S.P. (2008): MHD nonlinear flow with heat and mass transfer over a stretching porous surface with prescribed heat, mass flux and viscous dissipation effects. – 8th ISHMT-ASME Heat and Mass Transfer Conference, Jawaharlal Nehru Technological University, Hyderabad, India, HMT-1.
21.
Anjali Devi S.P. and Kayalvizhi M. (2013): Nonlinear hydromagnetic flow with radiation and heat source over a stretching surface with prescribed heat and mass flux embedded in a porous medium. – Journal of Applied Fluid Mechanics, vol.6, No.2, pp.157-165.
22.
Jat Gopi Chand R.N. and Dinesh Rajotia (2014): MHD heat and mass transfer for viscous flow over nonlinearly stretching sheet in a porous medium. – Thermal Energy and Power Engineering, vol.3, No.1, pp.191-197.
23.
Kayalvizhi M., Kalaivanan R., Vishnu Ganesh N., Ganga B. and Abdul Hakeem A.K. (2016): Velocity slip effects on heat and mass fluxes of MHD viscous–Ohmic dissipative flow over a stretching sheet with thermal radiation. – Ain Shams Engineering Journal, vol.7, pp.791-797.
24.
Davidson P.A. (2001): An Introduction to Magnetohydrodynamics. – UK: Cambridge University Press.
25.
Nachtsheim P.R. and Swigert P. (1965): Satisfaction of the asymptotic boundary conditions in numerical solution of the system of non-linear equations of boundary layer type. – NASA TND-3004.
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