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Unsteady Flow of a Stratified Fluid with Radiation

Dr Madhava Reddy Ch

Subject area: Science,Engineering and Technology  ·  Area of research: Mathematics

Abstract

In this investigation, the effects of magneto-hydrodynamicsand thermal radiation have been discussed on unsteady natural convection flow in a Brinkman porous medium saturated with a chemically reacting doubly stratified fluid. Initially, the flow is described through time-dependent differential equations. These are converted into a set of coupled non-dimensional differential equations. Crank-Nicolson type scheme is employed to analyze the solution of the model. In order to analyze the usefulness of the investigation the dimensionless velocity, temperature and concentration have been presented graphically for different combinations of flow governing parameters.

Keywords

Brinkman porous medium, Crank-Nicolson method, Double stratification, and Chemical reaction,Radiation, Unsteady.

References

[1] E. M. Sparrrow and R. D. Cess: Radiation Heat Transfer. Washington, DC, USA: Hemisphere (1978).

[2] D. Srinivasacharya and M. Upender: Thermal radiation and chemical reaction effects on magnetohydrodynamic free convection heat and mass transfer in a micropolar fluid. Turkish J Eng Env Sci ,38: 184-196 (2014).

[3] Madhava Reddy Ch et al: Brinkman model for unsteady MHD free convection flow of a chemical reacting doubly stratified fluid with heat generation and radiation. Procedia Engineering Elsevier Journal, 127: pp.140–147 (2015).

[4] Madhava Reddy Ch et al: The effects of cross-diffusion and stratification in the Brinkman porous medium in unsteady natural convection currents on past started vertical plate. Global Journal of Pure and Applied Mathematics, 2016, 12 pp.449–456.

[5] Md. Abdul Alim, Md. Rezaul Karim and Md. Miraj Akand: Heat generation effects on MHD natural convection flow along a vertical wavy surface with variable thermal conductivity. American Journal of Computational Mathematics, 2, 42-50 (2012).

[6] D.A. Nield, and A. Bejan: Convection in porous media, Science and Technology, Springer (2013).

[7] B.R. Rout, S.K. Parida, and H.B. Pattanayak: Effect of radiation and chemical reaction on natural convective MHD flow through a porous medium with double diffusion. Journal of Engineering Thermophysics, 23, 53–65 (2014).

[8] A.J. Chamkha, A.F. Al-Mudhaf and I. Pop: Effect of heat generation or absorption on thermophoretic free convection boundary layer from a vertical flat plate embedded in a porous medium. International Communications in Heat and Mass Transfer, 33, 1096–1102 (2006).

[9] S. Shateyi and G.T. Marewo: Numerical analysis of unsteady MHD flow near a stagnation point of a two-dimensional porous body with heat and mass transfer, thermal radiation, and chemical reaction. Boundary Value Problems 2014, 2014:218

[10] A. J. Chamka, A. M. Rashad, Ch. Ram Reddy and P. V. S. N. Murthy: Effect of suction/injection on free convection along a vertical plate in a nanofluid saturated non-Darcy porous medium with internal heat generation. Indian J. pure Appl. Math., 45(3): 321-341 (2014)

[11] A. Nakayama and H. Koyama: Effect of thermal stratification on free convection within a porous medium. J. Thermophysics and Heat Transfer, 1(3), 282-285 (1987).

[12] P.V.S.N. Murthy, D. Srinivasacharya and P.V.S.S.S.R. Krishna: Effect of double stratification on free convection in a Darcian porous medium. J. Heat Transfer 126(2), 297-300 (2004).

[13] P.A.L. Narayana, P.V.S.N. Murthy: Free convective heat and mass transfer in a doubly stratified non-Darcy porous medium. J. of Heat Transfer, 128, 1204 (2006).

[14] D. Srinivasacharya and Ch. RamReddy: Free convective heat and mass transfer in a doubly stratified non-Darcy micropolar fluid. Korean J. Chem. Eng., 28(9), 1824-1832 (2011).

[15] Wubshet Ibrahim, O.D. Makinde: The effect of double stratification on boundary-layer flow and heat transfer of nanofluid over a vertical plate. Computers & Fluids, 86, 433–441 (2013).

[16] P. Loganathan, D. Iranian, P. Ganesan: Dufour and Soret effects on unsteady free convective flow past a semi-infinite vertical plate with variable viscousity and thermal conductivity, Int. J. Engineering and Technology, 7(1), 303-316, (2015).

[17] B. Gebhart and L. Pera: The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion, Int. J. Heat Mass Transfer, 14, 2025-2050 (1971).

How to cite this paper

Dr Madhava Reddy Ch "Unsteady Flow of a Stratified Fluid with Radiation" Iconic Research And Engineering Journals Volume 3 Issue 4 2019 Page 245-249
Dr Madhava Reddy Ch "Unsteady Flow of a Stratified Fluid with Radiation" Iconic Research And Engineering Journals, vol. 3, no. 4, Oct. 2019
Dr Madhava Reddy Ch (2019). Unsteady Flow of a Stratified Fluid with Radiation. Iconic Research And Engineering Journals, 3(4).
Dr Madhava Reddy Ch "Unsteady Flow of a Stratified Fluid with Radiation" Iconic Research And Engineering Journals, vol. 3, no. 4, Oct. 2019.
@article{1701675,
      author = {Dr Madhava Reddy Ch},
      title = {Unsteady Flow of a Stratified Fluid with Radiation},
      journal = {Iconic Research And Engineering Journals},
      year = {2019},
      volume = {3},
      number = {4},
      pages = {245-249},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1701675.pdf},
      abstract = {In this investigation, the effects of magneto-hydrodynamicsand thermal radiation have been discussed on unsteady natural convection flow in a Brinkman porous medium saturated with a chemically reacting doubly stratified fluid. Initially, the flow is described through time-dependent differential equations. These are converted into a set of coupled non-dimensional differential equations. Crank-Nicolson type scheme is employed to analyze the solution of the model. In order to analyze the usefulness of the investigation the dimensionless velocity, temperature and concentration have been presented graphically for different combinations of flow governing parameters.},
      keywords = {Brinkman porous medium, Crank-Nicolson method, Double stratification, and Chemical reaction,Radiation, Unsteady.},
      month = {October},
  }