Brinkman Model for Unsteady Flow with Heat Generation

References

[1] 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).

[2] D. Srinivasacharya and M. Upender: 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.

[3] Arpita Jain: Radiation and chemical reaction effects on unsteady double diffusive convective flow past an oscillating surface with constant heat flux. ISRN Chemical Engineering, 2013, Article ID 846826, 8 pages.

[4] B. W. martin: Free convection in a vertical cylinder with internal heat generation. Proc. Roy. Soc. A. 301, 327-341 (1967).

[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 o f 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).

@article{1700847,
      author = {Dr Madhava Reddy Ch},
      title = {Brinkman Model for Unsteady Flow with Heat Generation},
      journal = {Iconic Research And Engineering Journals},
      year = {2018},
      volume = {2},
      number = {5},
      pages = {172-176},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1700847.pdf},
      abstract = {In this investigation, the effects of magneto-hydrodynamics and heat generation have been discussed on unsteady natural convection flow in a Brinkman porous medium saturated 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 analyse the solution of the model. In order to analyse the usefulness of the investigation the dimensionless velocity, temperature and concentration have been presented for heat generation combination of flow governing parameters.},
      keywords = {Brinkman porous medium, Crank-Nicolson method, Double stratification, Heat generation and Chemical reaction, Unsteady.},
      month = {November},
  }