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Effect of Chemical Reaction and Thermal Radiation on Bio-Magnetic Viscoelastic Fluid Flow Embedded in a Porous Medium


Affiliations
1 Department of Mathematics, Centurion University of Technology and Management, 761 211 Odisha, India
2 Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar- 751 030, Odisha, India
3 Department of Mechanical Engineering, National Institute of Technology Arunachal Pradesh, Jote, Papum Pare District, Arunachal Pradesh-791 113, India
 

The justification of our work is to describe the effects of bio-magnetic viscoelastic fluid flow. Here the study has been investigated with the companionship of a chemical reaction as well as thermal radiation. We consider the medium as a porous medium. By the two-dimensional fluid model, the blood flow is represented. The fluid is assumed as a viscoelastic fluid that consists of the core region suspension of all erythrocytes. By using a suitable method and proper mathematical analysis the model is developed. The velocity, temperature, and concentration coupled nonlinear PDEs are reformed into respective sets of nonlinear ODEs. Then the set of ODEs is solved analytically. The paper is authentic and it has been conducted by graphical representation for different profiles such as momentum, heat, and mass. The computation of skin friction, Nusselt number, and Sherwood number are presented through the tabular form. It has been noticed that the present work excellently agrees with previous work done by Misra & Adhikary27 for some comparison and it has been treated as a particular case.

Keywords

Heat Transfer, Thermal Radiation, MHD, Chemical Reaction, Viscoelastic Fluid.
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  • Lee J & Fung Y, J Appl Mech, 37 (1970) 9.
  • Morgan D A, Bull Math Biol, 36 (1974) 39.
  • Young D F, Cholvin N R, Richard L K & Roth A C, Circulation Res, 41 (1977) 99.
  • Charm S & Kurland G, Nature, 206 (1965) 617.
  • Nadeem S, Haq R U & Lee C, Scientia Iranica, 19 (2012) 1550.
  • Mishra S R, Dash G C & Acharya M, Int J Heat Mass Transf, 57 (2013) 433.
  • Sharma B K, Chaudhary R C & Sharma P K, Adv Theor Appl Math, 2 (2007) 257.
  • Hiremath P S & Patil P M, Acta Mechanica, 98 (1993) 143.
  • Nield D A & Bejan A, Convection in Porous Media, (2nd Edn, Springer-Verlag, Berlin), 1998.
  • Fung Y C, Biodynamics Circulation, (New York Inc, Springer Verlag), 1984.
  • Soundalgekar V M, ASME J Appl Mech, 46 (1979) 757.
  • Lai F C & Kulacki F A, Int J Heat Mass Transf, 33 (1990) 1028.
  • Lai F C & Kulacki F A, Int J Heat Mass Transf, 34 (1991) 1189.
  • Cussler E L, Cambridge University Press, ( London), 1998.
  • Fairbanks D F & Wike C R, Ind Eng Chem Res, 42 (1950) 471.
  • Das U N, Deka R, Soundalgekar V M, Forschung Ingenieurwesen, 60 (1994) 284.
  • Takhar H S, Chamkha A J & Nath G, Int J Eng Sci, 38 (2000) 1303.
  • Muthucumarswamy R & Ganesan R P, J Appl Mech Tech Phys, 42 (2001) 665.
  • Chamkha A J, Int Commun Heat Mass Transf, 30 (2003) 413.
  • Kandasamy R, Periasamy K & Sivagnana P K K, Int J Heat Mass Transf, 48 (2005) 1388.
  • Kumar H, Therm Sci, 13 (2009) 1163.
  • Abdulla I A, Therm Sci, 13 (2009) 183.
  • Singh P, Tomer N S, Kumar S & Sinha D,Therm Sci, 15 (2011) 517.
  • Raju M C, Varma S V K & Rao R R K, J Future Eng Technol, 8 (2013) 35.
  • Muthucumarswamy R, Acta Mech, 155 (2002) 65.
  • Manivannan K, Muthucumarswamy R & Thangaraj V, Therm Sci, 13 (2009) 155.
  • Misra J C & Adhikary S D, Alex Eng J, 55 (2016) 287.

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  • Effect of Chemical Reaction and Thermal Radiation on Bio-Magnetic Viscoelastic Fluid Flow Embedded in a Porous Medium

Abstract Views: 74  |  PDF Views: 59

Authors

S. Jena
Department of Mathematics, Centurion University of Technology and Management, 761 211 Odisha, India
S R Mishra
Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar- 751 030, Odisha, India
Ram Prakash Sharma
Department of Mechanical Engineering, National Institute of Technology Arunachal Pradesh, Jote, Papum Pare District, Arunachal Pradesh-791 113, India

Abstract


The justification of our work is to describe the effects of bio-magnetic viscoelastic fluid flow. Here the study has been investigated with the companionship of a chemical reaction as well as thermal radiation. We consider the medium as a porous medium. By the two-dimensional fluid model, the blood flow is represented. The fluid is assumed as a viscoelastic fluid that consists of the core region suspension of all erythrocytes. By using a suitable method and proper mathematical analysis the model is developed. The velocity, temperature, and concentration coupled nonlinear PDEs are reformed into respective sets of nonlinear ODEs. Then the set of ODEs is solved analytically. The paper is authentic and it has been conducted by graphical representation for different profiles such as momentum, heat, and mass. The computation of skin friction, Nusselt number, and Sherwood number are presented through the tabular form. It has been noticed that the present work excellently agrees with previous work done by Misra & Adhikary27 for some comparison and it has been treated as a particular case.

Keywords


Heat Transfer, Thermal Radiation, MHD, Chemical Reaction, Viscoelastic Fluid.

References