CFP last date
22 April 2024
Call for Paper
May Edition
IJCA solicits high quality original research papers for the upcoming May edition of the journal. The last date of research paper submission is 22 April 2024

Submit your paper
Know more
Reseach Article

MHD Flow, Heat and Mass Transfer due to Axially Moving Cylinder in Presence of Thermal Diffusion, Radiation and Chemical Reactions in a Binary Fluid Mixture

by B.r Sharma, Hemanta Konwar
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 110 - Number 15
Year of Publication: 2015
Authors: B.r Sharma, Hemanta Konwar
10.5120/19396-1074

B.r Sharma, Hemanta Konwar . MHD Flow, Heat and Mass Transfer due to Axially Moving Cylinder in Presence of Thermal Diffusion, Radiation and Chemical Reactions in a Binary Fluid Mixture. International Journal of Computer Applications. 110, 15 ( January 2015), 52-59. DOI=10.5120/19396-1074

@article{ 10.5120/19396-1074,
author = { B.r Sharma, Hemanta Konwar },
title = { MHD Flow, Heat and Mass Transfer due to Axially Moving Cylinder in Presence of Thermal Diffusion, Radiation and Chemical Reactions in a Binary Fluid Mixture },
journal = { International Journal of Computer Applications },
issue_date = { January 2015 },
volume = { 110 },
number = { 15 },
month = { January },
year = { 2015 },
issn = { 0975-8887 },
pages = { 52-59 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume110/number15/19396-1074/ },
doi = { 10.5120/19396-1074 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:46:28.793175+05:30
%A B.r Sharma
%A Hemanta Konwar
%T MHD Flow, Heat and Mass Transfer due to Axially Moving Cylinder in Presence of Thermal Diffusion, Radiation and Chemical Reactions in a Binary Fluid Mixture
%J International Journal of Computer Applications
%@ 0975-8887
%V 110
%N 15
%P 52-59
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In the present paper we have studied the effects of magnetic field, thermal diffusion, thermal radiation and chemical reaction on velocity, temperature and concentration fields about an axially moving isothermal semi infinite solid vertical cylinder in two dimensional incompressible viscous binary fluid mixtures. The governing equations of continuity, momentum, energy and concentration are transformed into non similar boundary layer equations and are solved by using a regular perturbation method together with Matlab's built in solver bvp4c. Numerical solutions for axial velocity component, temperature and concentration of the rarer and lighter component of the binary fluid mixture are obtained on the basis of boundary layer approximation and presented graphically for axial curvature parameter, magnetic field parameter, thermal diffusion parameter, radiation parameter and chemical reaction parameter. It has been found that these parameters affect considerably the flow characteristics. The problem under consideration reduces to the flat plate case when the curvature parameter is absent.

References
  1. Sakiadis, B. C. (1961). Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two dimensional and axisymmetric flows, AIChE Journal, 7(1), 26-28.
  2. Tsou, F. K. , Sparrow, E. M. , and Goldstein, R. J. (1967). Flow and heat transfer in the boundary layer on a continuous moving surface, International Journal of Heat and Mass Transfer, 10(2), 219-235.
  3. Lin, H. T. , and Shih, Y. P. (1980). Laminar boundary layer heat transfer along static and moving cylinders, Journal of the Chinese Institute of Engineers, 3(1), 73-79.
  4. Sparrow, E. M. , Quack, H. , and Boerner, C. J. (1970). Local non similarity boundary layer solutions, AIAA Journal, 8(11), 1936-1942.
  5. Sparrow, E. M. , and Yu, H. S. (1971). Local non similarity thermal boundary layer solutions, Journal of Heat Transfer, 93(4), 328-334.
  6. Minkowcyz, W. J. , and Sparrow, E. M. (1974). Local non-similar solutions for natural convection on a vertical cylinder, Journal of Heat Transfer 96(2), 178-183.
  7. Seban, R. A. , and Bond, R. (1951). Skin friction and heat transfer characteristics of a laminar boundary layer on a circular cylinder in axial incompressible flow, Journal of Aeronautical Science, 18(10), 671-675.
  8. Fuzi, T. , and Uehara, H. (1970). Laminar natural convective heat transfer from the outer surface of a vertical cylinder, International Journal of Heat and Mass Transfer, 13(3), 607-615.
  9. Aziz, A. , and Na, T. Y. (1982). Improved perturbation solutions for laminar natural convection on a vertical cylinder, Wärme-und Stoffübertragung, 16(2), 83-87.
  10. Bui, M. N. and Cebeci, T. (1985). Combined free and forced convection in vertical slender cylinder, Journal of Heat Transfer, 107(2), 476-478.
  11. Wang, T. Y. , and Kleinstruver, C. (1989). General analysis of steady Laminar mixed convection heat transfer on vertical slender cylinders, Journal of Heat Transfer, 111(2), 393-398.
  12. Agrawal, A. K. , Kishor, B. , and Raptis, A. (1989). Effects of MHD free convection and mass transfer on the flow past a vibrating infinite vertical circular cylinder, Journal of Heat and Mass Transfer, 24(4), 243-250.
  13. Dursunkaya, Z. , and Worek, W. M. (1992). Diffusion-thermo and thermal-diffusion effects in transient and steady natural convection from vertical surface, International Journal of Heat and Mass Transfer, 35(8) 2060-2065.
  14. Abreu, C. R. A. , Alfradique, M. F. A. , and Silva Telles, A. (2006). Boundary layer flows with Dufour and Soret effects: I: Forced and natural convection, Chemical Engineering Science, 61(13), 4282-4289.
  15. Ganesan, P. , and Langanathan, P. (2001). Unsteady free convection flow over a moving vertical cylinder with heat and mass transfer, Journal of Heat and Mass Transfer, 37(1), 59-65.
  16. Ganesan, P. , and Langanathan, P. (2001). Effects of mass transfer and flow past a moving vertical cylinder with constant heat flux, Acta Mechanica, 150, (3-4), 179-190.
  17. Takhar, H. S, Chamkha, A. J. , and Nath, G. (2000). Combined heat and mass transfer along a vertical moving cylinder with a free stream, Heat and Mass transfer, 36(3), 237-246.
  18. Deka, Rudra Kanta, and Paul, Ashish. (2011). Transient free convective flow past an infinite vertical cylinder with heat and mass transfer, Applied Mathematical Sciences, 5(79), 3903-3916.
  19. Landau, L. D. , and Lifshitz, E. M. (1960). Electrodynamics of Continuous Media, Pergamon Press, New York.
  20. Sharma, B. R. , and Singh, R. N. (2004). Soret effect in generalized MHD Couette flow of a binary mixture, Bull Cal Math Soc. , 96, 367-374.
  21. Sharma, B. R. , and Singh, R. N. (2007). Soret effect due to natural convection between heated vertical plates in a horizontal small magnetic field, Ultra Science, 19, 97-106.
  22. Hossain, M. A. , and Alim, M. A. (1997). Natural Convection-Radiation Interaction on Boundary Layer Flow along a Thin Vertical Cylinder, Heat and Mass Transfer, 32(6), 515-520.
  23. Raptis A. , Perdikis, C. , and Takhar, H. S. (2004). Effect of thermal radiation on MHD flow, Applied Mathematics and Computation, 153(3), 645-649.
  24. Ganesan, P. , and Langanathan, P. (2002). Radiation and mass transfer effects on flow of an incompressible viscous fluid past a moving vertical cylinder, International Journal of Heat and Mass Transfer, 45(21), 4281-4288.
  25. Ganeswar Reddy, M. , and Bhaskar Reddy, N. (2009). Thermal Radiation and mass transfer effects on MHD free convective flow past a vertical cylinder with variable surface temperature and concentration, Journal of navel and architectural engineering, 6(1), 1-24.
  26. Ganeswar Reddy, M. , and Bhaskar Reddy, N. (2009). Radiation and mass transfer effects on unsteady MHD free convective flow of an incompressible viscous fluid past a moving vertical cylinder, Theoretical applied Mechanics, 36 (3), 239-260.
  27. Yih, K. A. (1999). Radiation effect on natural convection over a vertical cylinder embedded in porous media, International Communications in Heat and Mass Transfer, 26(2), 259-267.
  28. Chamkha, A. J. , and Ben-Nakhi, A. (2008). MHD mixed convection–radiation interaction along a permeable surface immersed in a porous medium in the presence of Soret and Dufour's Effects, Heat and Mass Transfer, 44, (7), 845-856.
  29. Kandasami, R. , Periasami, K. , and Prabhu Sivagnana, K. K. (2005). Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects, International Journal of Heat and Mass Transfer. , 48(21-22), 4557-4561.
  30. Ibrahim, F. S. , Elaiw, A. M. , and Bakr, A. A. (2008), Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi infinite vertical permeable moving plate with heat source and suction. , Communications in Nonlinear Science and Numerical Simulation, 13 (6), 1056-1066.
  31. Postelnicu, Adrian. (2007). Influence of chemical reaction on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects, Heat and Mass Transfer, 43(6), 595-602.
  32. Sharma, B. R. , and Nath, Kabita. (2013), Effects of Heat Generation, Thermal Diffusion, Magnetic Field and Chemical Reaction on De-mixing of a Binary Fluid Mixture, Journal of Applied Mathematics and Fluid Mechanics, 5(1), 23-31.
Index Terms

Computer Science
Information Sciences

Keywords

Vertical cylinder magnetic field thermal diffusion radiation chemical reaction binary fluid mixture MATLAB-bvp4c.