HEAT GENERATION AND ABSORPTION IN MHD FLOW OF CASSON FLUID PAST A STRETCHING WEDGE WITH VISCOUS DISSIPATION AND NEWTONIAN HEATING
DOI:
https://doi.org/10.11113/jt.v80.11138Keywords:
Casson fluid, stretching wedge, MHD, heat generation, viscous dissipationAbstract
The dissipative flow of Casson fluid in the presence of heat generation and absorption is investigated. The flow is induced due to stretching wedge. The similarity transformations were used to to transformed the governing equations into ordinary differential equations. The transformed equations are solved numerically via Keller-box method. Numerical results for skin friction coefficient are compared and found in excellent agreement with published results. The effects of pertinent parameters on velocity and temperature profiles as well as skin friction and heat transfer rate are graphically displayed and analyzed. It is noticed that fluid velocity drops with the increase of Casson fluid and magnetic parameters when the wedge is stretching faster than free stream. It is also noted that the heat transfer rate at wedge surface reduces with the increase of Eckert number, whereas the reverse trend is noted in the case of Casson and radiation parameters. Moreover, with increasing of heat generation or absorption parameter the fluid temperature rises.
References
Casson, N. 1959. A Flow Equation of Pigment Oil Suspensions of the Printing Ink Type. Mill CC. Rheology of Disperse Systems. Pergemon Press. 84-102.
Eldabe, N. T. M. and Salwa, M. G. E. 1995. Heat Transfer of MHD Non-Newtonian Casson Fluid Flow between Two Rotating Cylinders. Journal of Physical Society of Japan. 64: 41-64.
Dash, R. K., Mehta, K. N. and Jayaraman, G. 1996. Casson Fluid Flow in a Pipe Filled with a Homogeneous Porous Medium. International Journal of Engineering Science. 34: 1145-1156.
Falkner, V. M. and Skan, S. W. 1931. Some Approximate Solutions of the Boundary-Layer for Flow Past a Stretching Boundary. SIAM Journal of Applied Mathematics. 49: 1350-1358.
Ishak, A., Nazar, R. and Pop, I. 2007. Falkner-Skan Equation for Flow Past a Moving Wedge with Suction or Injection, Journal of Appliled Mathematics and Computations. 25: 67-83.
Yacob, N. A., Ishak, A., Nazar, R. and Pop, I. 2011. Falkner-Skan Problem for a Static and Moving Wedge with Prescribed Surface Heat Flux in a Nanofluid. International Communications in Heat and Mass Transfer. 38: 149-153.
Postelnicu, A. and Pop, I. 2011. Falkner-Skan Boundary Layer Flow of a Power-Law Fluid past a Stretching Wedge. Appl. Math. Comput. 217: 4359-4368.
Mukhopadhyay, S., Mondal, I. C. and Chamkha, A. J. 2013. Casson Fluid Flow and Heat Transfer past a Symmetric Wedge. Heat Transfer Research. 42: 665-675.
Mukhopadhyay, S. and Mandal, I. C. 2014. Boundary Layer Flow and Heat Transfer of a Casson Fluid past a Symmetric Porous Wedge with Surface Heat Flux. Chinese Physics B. 23: 044702.
Yih, K. A. 1999. MHD Forced Convection Flow Adjacent to a Non-Isothermal Wedge, International Communications in Heat and Mass Transfer. 26: 819-827.
Chamkha, A. J., Mujtaba, M., Quadri, A. and Issa, C. 2003. Thermal Radiation Effects nn MHD Forced Convection Flow Adjacent to a Non-Isothermal Wedge in the Presence of a Heat Source or Sink. Heat and Mass Transfer 39: 305-312.
Su, X. L., Zheng, L., Zhang, X. and Zhang, J. 2012. MHD Mixed Convective Heat Transfer over a Permeable Stretching Wedge with Thermal Radiation and Ohmic Heating. Chemical Engineering Science. 78: 1-8.
Prasad, K. V., Datti, P. S. and Vajravelu, K. 2013. MHD Mixed Convection Flow over a Permeable Non-Isothermal Wedge. Journal of King Saud University-Science. 25: 313-324.
El-Dabe, N. T., Ghaly, A. Y. Rizkallah, R. R., Ewis, K. M. and Al-Bareda, A. S. 2015. Numerical Solution of MHD Boundary Layer Flow of Non-Newtonian Casson Fluid on a Moving Wedge with Heat and Mass Transfer and Induced Magnetic Field. Journal of Applied Mathematics and Physics. 3: 649-663.
Hsiao, K. L. 2017. To Promote Radiation Electrical MHD Activation Energy Thermal Extrusion Manufacturing System Efficiency by using Carreau-Nanofluid with Parameters Control Method. Energy. 130: 486-499.
Salem, A. M., El-Aziz, M. A. 2008. Effect of Hall Currents and Chemical Reaction on Hydromagnetic Flow of a Stretching Vertical Surface with Internal Heat Generation/Absorption. Applied Mathematical Modelling. 32: 1236-1254.
Magyari, E., Chamkha, A. J. 2010. Combined Effect of Heat Generation or Absorption and First-order Chemical Reaction on Micropolar Fluid Flows Over a Uniformly Stretched Permeable Surface. International Journal of Thermal Sciences. 49: 1821-1828.
Ahmad, R. and Khan, W. A. 2013. Effect of Viscous Dissipation and Internal Heat Generation/Absorption on Heat Transfer Flow over a Moving Wedge with Convective Boundary Condition. Heat Transfer Research. 42: 589-602.
Nandy, S. K., Mahapatra, T. R. 2013. Effects of Slip And Heat Generation/Absorption on MHD Stagnation Flow of Nanofluid Past a Stretching/Shrinking Surface with Convective Boundary Conditions. International Journal of Heat and Mass Transfer. 64: 1091-1100.
Pal, D., Mandal, G. 2015. Mixed Convection-radiation on Stagnation-point Flow of Nanofluids over a Stretching/Shrinking Sheet in a Porous Medium with Heat Generation and Viscous Dissipation. Journal of Petroleum Science and Engineering. 126: 16-25.
Hsiao, K.-L. 2016b. Stagnation Electrical MHD Nanofluid Mixed Convection with Slip Boundary on a Stretching Sheet. Applied Thermal Engineering. 98: 850-861.
Hsiao, K.-L. 2016a. Combined Electrical MHD Heat Transfer Thermal Extrusion System Using Maxwell Fluid with Radiative and Viscous Dissipation Effects. Applied Thermal Engineering. 112: 1281-1288.
Ferdows, M., Liu, D., 2017. Similarity Solutions on Mixed Convection Heat Transfer from a Horizontal Surface Saturated in a Porous Medium with Internal Heat Generation. International Journal of Applied Mechanics and Engineering. 22: 253-258.
Cebeci, T. and Bradshaw, P. 1984. Physical and Computational Aspects of Convective Heat Transfer. Springer Verlag, New York.
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