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INFLUENCE OF JOULE HEATING AND THERMAL RADIATION ON UNSTEADY HYDROMAGNETIC FLOW OF CHEMICALLY REACTING CASSON FLUID OVER AN INCLINED POROUS STRETCHING SHEET

Volume 10, Issue 4, 2019, pp. 385-400
DOI: 10.1615/SpecialTopicsRevPorousMedia.2019026908
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ABSTRACT

In the present work, unsteady hydromagnetic flow of Casson fluid over an inclined permeable stretching sheet in the presence of Joule heating, thermal radiation, and chemical reaction is investigated. The governing flow equations are reduced to a system of nonlinear ordinary differential equations by using similarity transformations. The resulting system is solved numerically using the Runge−Kutta fourth-order technique along with the shooting method. Comparison shows that the present results are in excellent agreement with previous existing results. The impact of various physical parameters on flow variables has been discussed in detail. The result shows that the temperature increases with increasing applied magnetic field and thermal radiation parameter. Further, the concentration decreases for the case of a destructive chemical reaction while it increases for the case of a generative chemical reaction.

REFERENCES
  1. Agathoklis, D.P., Vasileios-Alexandros, Ch., Aikaterini, A.M., and Spiros, V.P., Casson Fluid Flow in a MicroChannel Containing a Flow Disturbing Rib, Chem. Eng. Sci, vol. 148, pp. 229-237,2016.

  2. Azim, M.A., Mamun, A.A., and Rahman, M.M., Viscous Joule Heating MHD-Conjugate Heat Transfer for a Vertical Flat Plate in the Presence of Heat Generation, Int. Commun. Heat Mass Transf, vol. 37, no. 6, pp. 666-674,2010.

  3. Bikash, S., Effects of Slip, Viscous Dissipation and Joule Heating on the MHD Flow and Heat Transfer of a Second Grade Fluid past a Radially Stretching Sheet, App. Math. Mech. (Eng. Ed.), vol. 31, no. 2, pp. 159-173,2010.

  4. Casson, N., A Flow Equation for Pigment-Oil Suspensions of the Printing Ink Type, in Rheology of Disperse Systems, C.C. Mill, Ed., Oxford, UK: Pergamon Press, pp. 84-104,1959.

  5. Chamka, A.J., Aly, A.M., and Mansour, M.A., Similarity Solution for Unsteady Heat and Mass Transfer from a Stretching Surface Embedded in a Porous Medium with Suction/Injection and Chemical Reaction Effects, Chem. Eng. Commun., vol. 197, pp. 846-858,2010.

  6. Chen, C.H., Combined Effects of Joule Heating and Viscous Dissipation on Magnetohydrodynamic Flow past a Permeable, Stretching Surface with Free Convection and Radiative Heat Transfer, J. Heat Transf., vol. 132, p. 064503,2010.

  7. Chen, X., Ye, Y., Zhang, X., and Zheng, L., Lie-Group Similarity Solution and Analysis for Fractional Viscoelastic MHD Fluid over a Stretching Sheet, Comp. Math. Appl., vol. 75, no. 8, pp. 3002-3011,2018.

  8. Crane, L.J., Flow past a Stretching Plate, Zeitschrift fr Angewandte Mathematik undPhysik, vol. 21, pp. 645-647,1970.

  9. Das, S., Banu, A.S., Sensharma, A., and Jana, R.N., Transient Magnetohydrodynamic (MHD) Casson Fluid Flow past an Oscillating Rotating Vertical Plate Embedded in a Porous Medium, Special Top. Rev. Porous Media, vol. 9, no. 3, pp. 239-260, 2018.

  10. Dash, R.K., Mehta, K.N., and Jayaraman, G., Casson Fluid Flow in a Pipe Filled with a Homogeneous Porous Medium, Int. J. Eng. Sci., vol. 34, pp. 1145-1156,1996.

  11. Ganesan, P. and Palani, G., Finite Difference Analysis of Unsteady Natural Convection MHD Flow past an Inclined Plate with Variable Surface Heat and Mass Flux, Int. J. Heat Mass Transf., vol. 47, pp. 4449-4457,2004.

  12. Hayat, T., Qasim, M., and Mesloub, S., MHD Flow and Heat Transfer over Permeable Stretching Sheet with Slip Conditions, Int. J. Num. Methods Fluids, vol. 66, pp. 963-975,2011.

  13. Hayat, T., Shaheen, U., Shafiq, A., Alsaedi, A., and Asghar, S., Marangoni Mixed Convection Flow with Joule Heating and Nonlinear Radiation, AIP Adv, vol. 5, no. 7, pp. 077140-077155,2015.

  14. Hayat, T., Qayyum, S., Alsaedi, A., and Ahmad, B., Modern Aspects of Nonlinear Convection and Magnetic Field in Flow of Thixotropic Nano Fluid over a Nonlinear Stretching Sheet with Variable Thickness, Physica B: Phys. Condensed Matter, vol. 537, pp. 267-276,2018.

  15. Ibrahim, W. and Shanker, B., MHD Boundary Layer Flow and Heat Transfer of a Nanofluid past a Permeable Stretching Sheet with Velocity, Thermal and Solutal Slip Boundary Conditions, Comp. Fluids, vol. 75, pp. 1-10,2013.

  16. Ishak, A., Nazar, R., and Pop, I., Heat Transfer over an Unsteady Stretching Permeable Surface with Prescribed Wall Temperature, Nonlinear Anal, vol. 10, pp. 2909-2913,2009.

  17. Khan, S.U. and Ali, N., Thermophoresis and Heat Generation/Absorption Effects on Magnetohydrodynamic Flow of Jeffrey Fluid over Porous Oscillatory Stretching Surface with Convective Boundary Conditions, J. Porous Media, vol. 21, no. 6, pp. 555-576, 2018.

  18. Khan, N.A. and Sultan, F., Homogeneous-Heterogeneous Reactions in an Eyring-Powell Fluid over a Stretching Sheet in a Porous Medium, Special Top. Rev. Porous Media, vol. 7, no. 1, pp. 15-25,2016.

  19. Khan, M.I., Waqas, M., Hayat, T., and Alsaedi, A., A Comparative Study of Casson Fluid with Homogeneous-Heterogeneous Reactions, J. Colloid Interface Sci, vol. 498, pp. 85-90,2017.

  20. Khan, K.A., Butt, A.R., and Raza, N., Effects of Heat and Mass Transfer on Unsteady Boundary Layer Flow of a Chemical Reacting Casson Fluid, Results Phys, vol. 8, pp. 610-620,2018.

  21. Kumar, C.K. and Srinivas, S., Simultaneous Effects of Thermal Radiation and Chemical Reaction on Hydromagnetic Pulsatile Flow of a Casson Fluid in a Porous Space, Eng. Trans., vol. 65, no. 3, pp. 461-481,2017.

  22. Makinde, O.D. and Eegunjobi, A.S., Entropy Analysis of Thermally Radiating Magnetohydrodynamic Slip Flow of Casson Fluid in a Microchannel Filled with Saturated Porous Media, J. Porous Media, vol. 19, no. 9, pp. 799-810,2016.

  23. Mabood, F., Ibrahim, S.M., Rashidi, M.M., Shadloo, M.S., and Lorenzini, G., Nonuniform Heat Source/Sink and Soret Effects on MHD Non-Darcian Convective Flow past a Stretching Sheet in a Micropolar Fluid with Radiation, Int. J. Heat Mass Transf., vol. 93, pp. 674-682,2016.

  24. Magyari, E. and Keller, B., Heat and Mass Transfer in the Boundary Layer on an Exponentially Stretching Continuous Surface, J. Physics D, vol. 32, pp. 577-585,2000.

  25. Mahanta, G. and Shaw, S., 3D Casson Fluid Flow past a Porous Linearly Stretching Sheet with Convective Boundary Condition, Alexandria Eng. J, vol. 54, pp. 653-659,2015.

  26. Megahed, A.M., Effect of Slip Velocity on Casson Thin Film Flow and Heat Transfer due to Unsteady Stretching Sheet in Presence of Variable Heat Flux and Viscous Dissipation, App. Math. Mech. (Eng. Ed.), vol. 36, no. 10, pp. 1273-1284, 2015.

  27. Mehmood, R., Rana, S., Akbar, N.S., and Nadeem, S., Nonaligned Stagnation Point Flow of Radiating Casson Fluid over a Stretching Surface, Alexandria Eng. J., vol. 57, no. 2, pp. 939-946,2018.

  28. Misra, J.C. and Sinha, A., Effect of Thermal Radiation on MHD Flow of Blood and Heat Transfer in a Permeable Capillary in Stretching Motion, Heat Mass Transf., vol. 49, pp. 617-628,2013.

  29. Moshizi, S.A. and Pop, I., Conjugated Effect of Joule Heating and Magnetohydrodynamic on Laminar Convective Heat Transfer of Nanofluids inside a Concentric Annulus in the Presence of Slip Condition, Int. J. Thermophys, vol. 37, no. 7, pp. 72-93, 2016.

  30. Mukhopadhyay, S. and Vajravelu, K., Diffusion of Chemically Reactive Species in Casson Fluid Flow over an Unsteady Permeable Stretching Surface, J. Hydrodyn., vol. 25, no. 4, pp. 591-598,2013.

  31. Mustafa, M., Hayat, T., and Hayat, I., Unsteady Boundary Layer Flow of a Casson Fluid due to an Impulsively Started Moving at Plate, Heat Transfer-Asian Res., vol. 40, pp. 563-576,2011.

  32. Nadeem, S., Ul-Haq, R., Akbar, N.S., and Khan, Z.H., MHD Three-Dimensional Casson Fluid Flow past a Porous Linearly Stretching Sheet, Alexandria Eng. J., vol. 52, pp. 577-582,2013.

  33. Pal, D., Combined Effects of Nonuniform Heat Source/Sink and Thermal Radiation on Heat Transfer over an Unsteady Stretching Permeable Surface, Commun. Nonlin. Sci. Numer. Simulat., vol. 16, pp. 1890-1904,2011.

  34. Pal, D. and Talukdar, B., Combined Effects of Joule Heating and Chemical Reaction on Unsteady Magnetohydrodynamic Mixed Convection of a Viscous Dissipating Fluid over a Vertical Plate in Porous Media with Thermal Radiation, Math. Comput. Modell., vol. 54, pp. 3016-3036,2011.

  35. Pantokratoras, A., Mixed Convection Flow along a Vertical Stretching Permeable Sheet in a Darcy-Brinkman Isotropic Porous Medium, J. PorousMedia, vol. 17, no. 11, pp. 999-1006,2014.

  36. Rahimi, J., Ganji, D.D., Khaki, M., and Hosseinzadeh, Kh., Solution of the Boundary Layer Flow of an Eyring-Powell Non-Newtonian Fluid over a Linear Stretching Sheet by Collocation Method, Alexandria Eng. J, vol. 56, pp. 621-627, 2017.

  37. Rehman, K.U., Qaiser, A., Malik, M.Y., and Ali, U., Numerical Communication for MHD Thermally Stratified Dual Convection Flow of Casson Fluid Yields by Stretching Cylinder, Chin. J. Phys, vol. 55, pp. 1605-1614,2017.

  38. Seth, G.S., Singha, A.K., Mandal, M.S.,Banerjee, A., and Bhattacharyya, K., MHD Stagnation-Point Flow and Heat Transfer past a Nonisothermal Shrinking/Stretching Sheet in Porous Medium with Heat Sink or Source Effect, Int. J. Mech. Sci., vol. 134, pp. 98-111,2017.

  39. Sivaraj, R. and Benazir, A.J., Unsteady Magnetohydrodynamic Mixed Convective Oscillatory Flow of Casson Fluid in a Porous Asymmetric Wavy Channel, Special Top. Rev. Porous Media, vol. 6, no. 3, pp. 267-281,2015.

  40. Shagaiy, Y., Aziz, Z.A., Ismail, Z., and Salah, F., Effects of Thermal Radiation, Viscous and Joule Heating on Electrical MHD Nanofluid with Double Stratification, Chin. J. Phys., vol. 55, pp. 630-651,2017.

  41. Sharidan, S., Mahmood, T., and Pop, I., Similarity Solutions for the Unsteady Boundary Layer Flow and Heat Transfer due to a Stretching Sheet, Int. J. App. Mech. Eng., vol. 11, pp. 647-654,2006.

  42. Sharma, P.R. and Sinha, S., Combined Effects of Viscous Dissipation and Joule Heating on Unsteady MHD Flow and Heat Transfer over a Stretching Sheet Saturated in Porous Medium, Ann. Pure Appl. Math, vol. 14, no. 3, pp. 387-399, 2017.

  43. Sharma, P.R., Sinha, S., Yadav, R.S., andFilippov, A.N., MHD Mixed Convective Stagnation Point Flow along a Vertical Stretching Sheet with Heat Source/Sink, Int. J. Heat Mass Transf., vol. 117, pp. 780-786,2018.

  44. Shateyi, S., Mabood, F., and Lorenzini, G., Casson Fluid Flow: Free Convective Heat and Mass Transfer over an Unsteady Permeable Stretching Surface Considering Viscous Dissipation, J. Eng. Thermophys, vol. 26, no. 1, pp. 39-52,2017.

  45. Sheikh, M. and Abbas, Z., Homogeneous-Heterogeneous Reactions in Stagnation Point Flow of Casson Fluid due to a Stretching/Shrinking Sheet with Uniform Suction and Slip Effects, Ain Shams Eng. J., vol. 8, pp. 467-474,2017.

  46. Srinivas, S., Reddy, P.B.A., and Prasad, B.S.R.V., Effects of Chemical Reaction and Thermal Radiation on MHD Flow over An Inclined Permeable Stretching Surface with Nonuniform Heat Source/Sink: an Application to the Dynamics of Blood Flow, J. Mech. Med. Biol., vol. 14, no. 5, pp. 1450067-1450091,2014.

  47. Srinivas, S., Kumar, C.K., and Reddy, A.S., Pulsating Flow of Casson Fluid in a Porous Channel with Thermal Radiation, Chemical Reaction and Applied Magnetic Field, Nonlinear Anal. Modell. Control, vol. 23, no. 2, pp. 213-233,2018.

  48. Su, X. and Zheng, L., Hall Effect on MHD Flow and Heat Transfer of Nanofluids over a Stretching Wedge in the Presence of Velocity Slip and Joule Heating, Central Euro. J. Phys, vol. 11, no. 12, pp. 1694-1703,2013.

  49. Wang, C.Y., LiquidFilm on an Unsteady Stretching Surface, Q. Appl. Math., vol. 48, pp. 601-610,1990.

CITED BY
  1. Kumar Challa Kalyan, Srinivas Suripeddi, Subramanyam Reddy Anala, MHD Pulsating Flow of Casson Nanofluid in a Vertical Porous Space with Thermal Radiation and Joule Heating, Journal of Mechanics, 36, 4, 2020. Crossref

  2. Venkateswarlu M., Bhaskar P., Entropy Generation and Bejan Number Analysis of MHD Casson Fluid Flow in a Micro-Channel with Navier Slip and Convective Boundary Conditions, International Journal of Thermofluid Science and Technology, 7, 4, 2020. Crossref

  3. Kumar Challa Kalyan, Srinivas Suripeddi, Pulsating hydromagnetic flow of Casson fluid in a vertical channel filled with non‐Darcian porous medium, Heat Transfer, 50, 6, 2021. Crossref

  4. Ramesh K., Riaz Arshad, Dar Zahoor Ahmad, Simultaneous effects of MHD and Joule heating on the fundamental flows of a Casson liquid with slip boundaries, Propulsion and Power Research, 10, 2, 2021. Crossref

  5. Gajbhiye Sneha, Warke Arundhati, Katta Ramesh, Role of electromagnetic analysis in radiative immiscible Newtonian and non‐Newtonian fluids through a microchannel with chemical reactions, Heat Transfer, 2022. Crossref

  6. Srinivas Suripeddi, Kalyan Kumar Challa, Badeti Satyanarayana, Reddy Anala Subramanyam, MHD Flow of Casson Nanofluid Over An Inclined Porous Stretching Surface, in Recent Advances in Applied Mathematics and Applications to the Dynamics of Fluid Flows, 2023. Crossref

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