Effects of Heat Generation and Radiation on Darcy Convective Non-Newtonian Power Law Liquid with Yield Stress over a Vertical Plate

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Authors

  • R. Suresh Babu
     Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore - 560054 ,IN
  • B. Mallikarjuna
     Department of Mathematics, B M S College of Engineering, Bangalore - 560014, Karnataka ,IN
  • A. Sreevallabha Reddy
     Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore - 560054, Karnataka ,IN
  • M. V. Govindaraju
     Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore - 560054, Karnataka ,IN

DOI:

https://doi.org/10.18311/jmmf/2023/43605

Keywords:

Heat Generation, Non-Newtonian Power-Law Fluid, Radiation Effect, Shooting Technique, Yield Stress.

Abstract

The effects of heat flux, and thermal buoyancy on mixed convective flow for a non-Newtonian power law liquid with yield stress via a vertical plate filled with a porous material under the influence of thermal radiation, and heat production are investigated in this topic. For this model, The PDE's that govern the flow are constructed and converted to a set of ODE's using appropriate transformation and the resultant ODEs are quantitatively determined using Shooting technique. The impacts of different flow regulating factors such as index parameter, yield stress, radiation, and heat generation are illustrated through graphical representation for fluid properties. This research shows that the velocity distribution, Nusselt and Sherwood numbers declines as the dimensionless rheological parameter rise, but temperature and concentration profiles exhibit the reverse tendency. Also, the velocity, temperature curves and mass flux grow as the radiation parameter rises, whereas the concentration curves and heat flux fall as the radiation parameter rises. For a specific case, a comparison with Lakshmi Narayana et al.,13 was made, and a great agreement was established.

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Published

2024-05-24

How to Cite

Suresh Babu, R., Mallikarjuna, B., Sreevallabha Reddy, A., & Govindaraju, M. V. (2024). Effects of Heat Generation and Radiation on Darcy Convective Non-Newtonian Power Law Liquid with Yield Stress over a Vertical Plate. Journal of Mines, Metals and Fuels, 71(12A), 168–176. https://doi.org/10.18311/jmmf/2023/43605

Issue

Volume 71, Issue 12A , 2023

Section

Articles

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Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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References

Mehta KN, Narasimha Rao K. Buoyancy induced flow of non-Newtonian fluids over a non- isothermal horizontal plate embedded in a porous medium. Int J Eng Sci. 1994; 32:521-5. https://doi.org/10.1016/0020- 7225(94)90138-4 DOI: https://doi.org/10.1016/0020-7225(94)90138-4

Masahiko I, Akira N. Numerical modeling of non- Newtonian fluid flow in a porous medium using a three-dimensional periodic array. J Flu Eng. 1998; 120:131-45. https://doi.org/10.1115/1.2819636 DOI: https://doi.org/10.1115/1.2819636

El-Hakiem MA, El-Amin MF. Mass transfer effects on the non-Newtonian fluids past a vertical plate embedded in a porous medium with non-uniform surface heat flux. H M Trans. 2001; 37:293-7. https://doi.org/10.1007/ s002310000145 DOI: https://doi.org/10.1007/s002310000145

Nabil ED, Mahmoud Gabr, Abd-Elhafez E, Sameh Z. The motion of a non-Newtonian nanofluid over a semiinfinite moving vertical plate through porous medium with heat and mass transfer. Ther Scies. 2020; 24:1311- 21. https://doi.org/10.2298/TSCI180604021E DOI: https://doi.org/10.2298/TSCI180604021E

Idowu AS, Falodun BO. Variable thermal conductivity and viscosity effects on non-Newtonian fluids flow through a vertical porous plate under Soret-Dufour influence. Math Comp Simul. 2020; 177:358-84. https:// doi.org/10.1016/j.matcom.2020.05.001 DOI: https://doi.org/10.1016/j.matcom.2020.05.001

Laurent T, Alex H. Effective Rheology of Bi-viscous non- Newtonian fluids in porous media. Front Phys. 2020; 7:225. https://doi.org/10.3389/fphy.2019.00225 DOI: https://doi.org/10.3389/fphy.2019.00225

Wei TW, Mehrdad M. Recent advances in mechanics of non-Newtonian fluids. Fluids. 2020; 5:10. https://doi. org/10.3390/fluids5010010 DOI: https://doi.org/10.3390/fluids5010010

Schowalter WR. The application of boundary-layer theory to power-law pseudo plastic fluids: similar solutions. AICHE Jour. 1960; 6:24-8. https://doi.org/10.1002/ aic.690060105 DOI: https://doi.org/10.1002/aic.690060105

Chen HT, Chen CK. Free convection of non-Newtonian fluids along a vertical plate embedded in a porous medium. ASME J He Trans. 1988; 110(1):257–60. https://doi.org/10.1115/1.3250462 DOI: https://doi.org/10.1115/1.3250462

Nakayama A, Koyama H. Buoyancy induced flow of non-Newtonian fluids over a non-isothermal body of arbitrary shape in a fluid-saturated porous medium. App Sci Res. 1991; 48:55–70. https://doi.org/10.1007/ BF01998665 DOI: https://doi.org/10.1007/BF01998665

Mehta KN, Narasimha Rao K. Buoyancy-induced flow of non-Newtonian fluids in aporous medium pasta vertical flat plate with non-uniform surface heat flux. Int J Engg Sci. 1994; 32:297-302. https://doi.org/10.1016/0020- 7225(94)90009-4 DOI: https://doi.org/10.1016/0020-7225(94)90009-4

Jumah RY, Mujumdar AS. Natural convection heat and mass transfer from a vertical plate with variable wall temperature and concentration to power law fluids with yield stress in a porous medium. Chem Engg Comm. 2001; 185:165-82. https://doi. org/10.1080/00986440108912861 DOI: https://doi.org/10.1080/00986440108912861

Lakshmi Narayana PA, Murthy PVSN, Postelnicu A. Soret and Dufour effects on free convection of a non- Newtonian power-law fluids with yield stress from a vertical flat plate in saturated porous media. J Por Med. 2009; 12:967-81. https://doi.org/10.1615/JPorMedia. v12.i10.40 DOI: https://doi.org/10.1615/JPorMedia.v12.i10.40

Kim GB, Hyun JM. Buoyant convection of power-law fluid in an enclosure filled with heat-generating porous media. Num Heat Trans, Part A: App. 2004; 45:569-82. https://doi.org/10.1080/10407780490277572 DOI: https://doi.org/10.1080/10407780490277572

Chamkha AJ, Al-Mudhaf AF, Pop I. Effect of heat generation or absorption on thermophoretic free convection boundary layer from a vertical flat plate embedded in a porous medium. Int Comm He Ma Trans. 2006; 33(9):1096–102. https://doi.org/10.1016/j.icheatmasstransfer. 2006.04.009 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2006.04.009

Cheng CY. Natural convection heat and mass transfer of non-Newtonian power law fluids with yield stress in porous media from a vertical plate with variable wall heat and mass fluxes. Int Comm He Ma Trans. 2006; 33(9):1156-64. https://doi.org/10.1016/j.icheatmasstransfer. 2006.06.006 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2006.06.006

Patil PM, Kulkarni PS. Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation. Int J Ther Sci. 2008; 47(8):1043-54. https://doi.org/10.1016/j. ijthermalsci.2007.07.013 DOI: https://doi.org/10.1016/j.ijthermalsci.2007.07.013

Chen CH. Effects of magnetic field and suction/injection on convection heat transfer of non- Newtonian powerlaw fluids past a power-law stretched sheet with surface heat flux. Int J Ther Sci. 2008; 47(7):954-61. https://doi. org/10.1016/j.ijthermalsci.2007.06.003 DOI: https://doi.org/10.1016/j.ijthermalsci.2007.06.003

Subhas Abel M, Datti PS, Mahesha N. Flow and heat transfer in a power-law fluid over a stretching sheet with variable thermal conductivity and non-uniform heat source. Int J He Ma Trans. 2009; 52(11):2902-13. https:// doi.org/10.1016/j.ijheatmasstransfer.2008.08.042 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2008.08.042

Suresh Babu R, Rushi Kumar B, Dinesh PA. Combined effects of internal heat generation and viscous dissipation for double diffusive with Forchheimer fluid model. ECI Dig Arc, USA; 2016.

Cheng C. Double-diffusive natural convection along a vertical wavy truncated cone in non-Newtonian fluid saturated porous media with thermal and mass stratification. Int Comm He Ma Trans. 2008; 35:985–90. https:// doi.org/10.1016/j.icheatmasstransfer.2008.04.007 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2008.04.007

Salem AM. Coupled heat and mass transfer in Darcy- Forchheimer mixed convection from a vertical flat plate embedded in a fluid-saturated porous medium under the effects of radiation and viscous dissipation. Int J He Ma Trans. 2009; 14:57-71.

Prabhu KKS, Kandasamy R, Perisamy K. Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects. Int J He Ma Trans. 2005; 48:4557-61. https://doi.org/10.1016/j.ijheatmasstransfer.2005.05.006 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2005.05.006

Ibrahim FS, Elaiw AM, Bakr AA. 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. Nonli Sci Numer Simul. 2008; 13:1056–66. https://doi. org/10.1016/j.cnsns.2006.09.007 DOI: https://doi.org/10.1016/j.cnsns.2006.09.007

Chen CH. Magneto-Hydrodynamic mixed convection of a power-law fluid past a stretching surface in the presence of thermal radiation and internal heat generation/ absorption. Int J Nonlin Mech. 2009; 44:596-603. https:// doi.org/10.1016/j.ijnonlinmec.2009.02.004 DOI: https://doi.org/10.1016/j.ijnonlinmec.2009.02.004

Mohammed Ibrahim S. Chemical reaction and radiation effects on MHD free convection flow along a stretching surface with viscous dissipation and heat generation. Advances in Appl Sci Res. 2013; 4:371-82.

Lavanya B, Leela Ratnam A. Dufour and Soret effects on steady MHD free convective flow past a vertical porous plate embedded in a porous medium with chemical reaction, radiation heat generation and viscous dissipation. Advs Appli Sci Res. 2014; 5:127-42.

Swamy Reddy G, Ravi Kiran G, Archana Reddy R. Radiation impacts on free convection circulation of a Power-Law fluid past vertical plate filled along with Darcy porous medium. Int J Engig Adv Tech. 2019; 8(6):4582- 5. https://doi.org/10.35940/ijeat.F8886.088619 DOI: https://doi.org/10.35940/ijeat.F8886.088619

Castaneda PP. Anisotropic Oldroyd-type models for non-colloidal suspensions of viscoelastic particles in Newtonian and yield-stress fluids via homogenization. J Non-New Flu Mech. 2021; 295:104625. https://doi. org/10.1016/j.jnnfm.2021.104625 DOI: https://doi.org/10.1016/j.jnnfm.2021.104625

Suresh Babu R, Ramesh NL, Sravan Kumar T. Effects of chemical reaction, Soret and Lorentz force on Casson fluid flow past an exponentially accelerated vertical plate: A Comprehensive Analysis. Heat Transfer. 2021; 51(2):2237‐57. https://doi.org/10.1002/htj.22398 DOI: https://doi.org/10.1002/htj.22398

Saleem S, Mohamed Abd El-Aziz. Entropy generation and convective heat transfer of radiated non-Newtonian power-law fluid past an exponentially moving surface under slip effects. The Euro Phy J Plu. 2019; 134(4):184. https://doi.org/10.1140/epjp/i2019-12656-4 DOI: https://doi.org/10.1140/epjp/i2019-12656-4

Falana A, Babatope OP. Velocity slip effect on MHD Power-law fluid over a moving surface with heat generation, viscous dissipation and thermal radiation. J Engg Res Rep. 2021; 20(10):103-12. https://doi.org/10.9734/ jerr/2021/v20i1017394 DOI: https://doi.org/10.9734/jerr/2021/v20i1017394