Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN Druckformat: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2019029098
pages 21-39

INFLUENCE OF VARIABLE LIQUID PROPERTIES ON MAGNETOHYDRODYNAMIC FLOW AND HEAT TRANSFER OF A CASSON LIQUID OVER A SLENDER ROTATING DISK: NUMERICAL AND OPTIMAL SOLUTION

Hanumesh Vaidya
Department of Mathematics, SSA Government First Grade College (Autonomous), Ballari-583101, Karnataka, India
K. V. Prasad
Department of Mathematics, Vijayanagara Sri Krishnadevaraya University Jnana Sagara Campus,Vinayaka Nagar Cantonment, Ballari-583 105, Karnataka, India
Kuppalapalle Vajravelu
Department of Mathematics, University of Central Florida, Orlando, Florida 32816, USA
B. Srikantha Setty
Department of Mathematics, VSK University, Vinayaka Nagar, Ballari-583 105, Karnataka, India
Oluwole Daniel Makinde
Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa

ABSTRAKT

The present work deals with magnetohydrodynamic (MHD) flow and heat transfer of a Casson liquid over a rotating disk with variable thickness. The effects of velocity slip, convective boundary condition, viscous dissipation, and internal heat generation/absorption are considered. The transport properties of the fluid, for example, viscosity dissipation and thermal conductivity, vary with temperature. The governing nonlinear partial differential equations of the problem are reduced to a system of nonlinear ordinary differential equations by the von Karman approach and are solved numerically as well as semi-analytically. The numerical results are compared with previous studies for a special case and found to be in excellent agreement. Impacts of the pertinent parameters on the velocity components and the temperature field are graphically presented and analyzed in detail. The temperature distribution gets augmented for raising the values of viscous dissipation; variable thermal conductivity, and heat source/sink parameter.

REFERENZEN

  1. Ackroyd, J.A.D., On the Steady Flow Produced by a Rotating Disc with Either Surface Suction or Injection, J. Eng. Math., vol. 12, pp. 467-485,1978.

  2. Andersson, H.I., deKorte, E., andMeland, R., Flow of a Power-Law Fluid over a Rotating Disk Revisited, Fluid Dyn. Res., vol. 28, pp. 75-88,2001.

  3. Batchelor, G.K., Note on a Class of Solutions of the Navier-Stokes Equations Representing Steady Rotationally-Symmetric Flow, Q. J. Mech. Appl. Math, vol. 4, p. 29,1951.

  4. Cochran, W.G., The Flow due to a Rotating Disc, Math. Proc. Philos. Soc, vol. 30, pp. 365-375,1934.

  5. Das, K., Acharya, N., and Kundu, P.K., The Onset of Nanofluid Flow past a Convectively Heated Shrinking Sheet in Presence of Heat Source/Sink: A Lie Group Approach, Appl. Therm. Eng., vol. 103, pp. 38-46,2016.

  6. Eshetu, H. and Shankar, B., Effects of Radiation, Viscous Dissipation and Magnetic Field on Nanofluid Flow in a Saturated Porous Media with Convective Boundary Condition, Comput. Therm. Sci, Int. J., vol. 8, pp. 177-191, 2016. DOI: 10.1615/Comput-ThermalScien.2016012982.

  7. Fang, T., Zhang, J., and Zhong, Y., Boundary Layer Flow over a Stretching Sheet with Variable Thickness, Appl. Math. Comput, vol. 218, pp. 7241-7252,2012.

  8. Gurah, G.S. and Anwar, M., Steady Flow ofaMicropolar Fluid due to a Rotating Disc, J. Eng. Math., vol. 13, pp. 223-234,1979.

  9. Hayat, T., Qayyum, S., Imtiaz, M., and Alsaedi, A., MHD Flow and Heat Transfer between Coaxial Rotating Stretchable Disks in a Thermally Stratified Medium, PLOS One, vol. 11, no. 5, pp. 1-23,2016a.

  10. Hayat, T., Khan, M.I., Farooq, M., Alsaedi, A., Waqas, M., and Yasmeen, T., Impact of Cattaneo-Christov Heat Flux Model in Flow of Variable Thermal Conductivity Fluid over a Variable Thickness Surface, Int. J. Heat Mass Transf, vol. 99, pp. 702-710, 2016b.

  11. Hayat, T., Qayyum, S., Alsaedi, A., and Shafiq, A., Inclined Magnetic Field and Heat Source/Sink Aspects in Flow of Nanofluid with Nonlinear Thermal Radiation, Int. J. Heat Mass Transf., vol. 103, pp. 99-107,2016c.

  12. Hayat, T., Qayyum, S., Imtiaz, M., and Alsaedi, A., Radiative Flow due to Stretchable Rotating Disk with Variable Thickness, Results Phys, vol. 7, pp. 156-165,2017.

  13. Karman, T.V., Uber Laminare and Turbulente Reibung, J. Appl. Math. Mech. Zeitschrift fur Angewandte Mathematik Mechanik, vol. 1,pp. 233-252,1921.

  14. Imtiaz, M., Tasawar, H., Ahmed, A., and Saleem, A., Slip Flow by a Variable Thickness Rotating Disk Subject to Magnetohydrodynamics, Results Phys., vol. 7, pp. 503-509,2017.

  15. Lee, A., Guan, H.Y., Timchenko, V., and Reizes, J., Effect of Variable Properties on Heat Transfer in a Micro-Channel with a Synthetic Jet, Comput. Therm. Sci, Int. J, vol. 5, pp. 369-388,2013. DOI: 10.1615/ComputThermalScien.2013004094.

  16. Liao, S., An Optimal Homotopy-Analysis Approach for Strongly Nonlinear Differential Equations, Commun. Nonlinear Sci. Numer. Simul., vol. 15, no. 8, pp. 2003-2016,2010.

  17. Ming, C.Y., Zheng, L.C., and Zhang, X.X., Steady Flow and Heat Transfer of the Power Law Fluid over a Rotating Disk, Int. Commun. Heat Mass Transf., vol. 38, pp. 280-284,2011.

  18. Prasad, K.V., Vajravelu, K., and Hanumesh, V., Hall Effect on MHD Flow and Heat Transfer over a Stretching Sheet with Variable Thickness, Int. J. Comput. Methods Eng. Sci. Mech., vol. 17, pp. 288-297,2016.

  19. Prasad, K.V., Vaidya, H., Vajravelu, K., and Rashidi, M., Effects of Variable Fluid Properties on MHD Flow and Heat Transfer over a Stretching Sheet with Variable Thickness, J. Mech., vol. 33, no. 4, pp. 501-512,2017a.

  20. Prasad, K.V., Vajravelu, K., Hanumesh V., and Van Gorder, R.A., MHD Flow and Heat Transfer in a Nanofluid over a Slender Elastic Sheet with Variable Thickness, Results Phys, vol. 7, pp. 1462-1474,2017b.

  21. Raju, C.S.K. and Sandeep, N., MHD Slip Flow of a Dissipative Casson Fluid over a Moving Geometry with Heat Source/Sink: A Numerical Study, Acta Astronaut., vol. 133, pp. 436-443,2017.

  22. Shufrin, I. and Eisenberger, M., Stability of Variable Thickness Shear Deformable Plates-First Order and High Order Analyses, Thin-Walled Struct, vol. 43, pp. 189-207,2005.

  23. Sibanda, P. and Makinde, O.D., On Steady MHD Flow and Heat Transfer past a Rotating Disk in a Porous Medium with Ohmic Heating and Viscous Dissipation, Int. J. Numer. Methods Heat Fluid Flow, vol. 20, pp. 269-285,2010.

  24. Soares, A.A., Ferreira, J.M., and Chhabra, R.P., Flow and Forced Convection Heat Transfer in Crossflow of Non-Newtonian Fluids over a Circular Cylinder, Ind. Eng. Chem. Res., vol. 44, pp. 5815-5827,2005.

  25. Stewartson, K., On the Flow between Two Rotating Coaxial Disks, Math. Proc. Philos. Soc., vol. 49, pp. 333-341,1953.

  26. Stuart, J.T., On the Effects of Uniform Suction on the Steady Flow due to a Rotating Disk, Q. J. Mech. Appl. Math., vol. 7, pp. 446-457,1954.

  27. Vajravelu, K. and Prasad, K.V., Keller-Box Method and Its Application, Berlin/Boston: HEP and Walter de Gruyter GmbH, 2014.

  28. Vajravelu, K., Prasad, K.V., Ng, C.O., and Hanumesh, V., MHD Flow and Heat Transfer over a Slender Elastic Permeable Sheet in a Rotating Fluid with Hall Current, Int. J. Appl. Comput. Math., vol. 3, pp. 3175-3200,2017.

  29. Vishwanath, B., Awati, M.O.D., and Manjunath, J., Computer-Extended Series Solution for Laminar Flow between a Fixed Im-permeable Disk and a Porous Rotating Disk, Eng. Comput., vol. 35, pp. 1655-1674,2018.

  30. Wakif, A., Boulahia, Z., and Sehaqui, R., Numerical Analysis of the Onset of Longitudinal Convective Rolls in a Porous Medium Saturated by an Electrically Conducting Nanofluid in the Presence of an External Magnetic Field, Results Phys., vol. 7, pp. 2134-2152,2017a.

  31. Wakif, A., Boulahia, Z., and Sehaqui, R., Numerical Study of the Onset of Convection in a Newtonian Nanofluid Layer with Spatially Uniform and Non Uniform Internal Heating, J. Nanofluid, vol. 6, pp. 136-148,2017b.

  32. Wakif, A., Boulahia, Z., Ali, F., Eid, M.R., and Sehaqui, R., Numerical Analysis of the Unsteady Natural Convection MHD Couette Nanofluid Flow in the Presence of Thermal Radiation Using Single and Two-Phase Nanofluid Models for Cu-Water Nanofluids, Int. J. Appl. Comput. Math., 2018a. DOI: 10.1007/s40819-018-0513-y.

  33. Wakif, A., Boulahia, Z., Mishra, S.R., Rashidi, M.M., and Sehaqui, R., Influence of a Uniform Transverse Magnetic Field on the Thermo-Hydrodynamic Stability in Water-Based Nanofluids with Metallic Nanoparticles Using the Generalized Boungiorno's Mathematical Model, Eur. Phys. J Plus, 2018b. DOI: 10.1140/epjp/i2018-12037-7.

  34. Wakif, A., Boulahia, Z., and Sehaqui, R., A Semi-Analytical Analysis of Electro-Thermo-Hydrodynamic Stability in Dielectric Nanofluids Using Buongiorno's Mathematical Model Together with More Realistic Boundary Conditions, Results Phys., vol. 9, pp. 1438-1454,2018c.

  35. Xun, S., Zhao, J., Zheng, L., Chen, X., and Zhang, X., Flow and Heat Transfer of Ostwald-de Waele Fluid over a Variable Thickness Rotating Disk with Index Decreasing, Int. J. Heat Mass Transf, vol. 103, pp. 1214-1224,2016.

  36. Zeeshan, A., Shehzad, N., and Ellahi, R., Analysis of Activation Energy in Couette-Poiseuille Flow of Nanofluid in the Presence of Chemical Reaction and Convective Boundary Conditions, Results Phys., vol. 8, pp. 502-512,2018.

  37. Zoubair, B., Wakif, A., and Sehaqui, R., Numerical Study of Mixed Convection of the Nanofluids in Two-Sided Lid-Driven Square Cavity with a Pair of Triangular Heating Cylinders, J. Eng., 2016. DOI: 10.1155/2016/8962091.

  38. Zoubair, B., Wakif, A., Chamkha, A.J., and Sehaqui, R., Numerical Study of Natural and Mixed Convection in a Square Cavity Filled by a Cu-Water Nanofluid with Circular Heating and Cooling Cylinders, Mech. Ind., vol. 18, p. 502,2017.


Articles with similar content:

NUMERICAL STUDY OF MHD BOUNDARY LAYER FLOW OF A VISCOELASTIC AND DISSIPATIVE FLUID PAST A POROUS PLATE IN THE PRESENCE OF THERMAL RADIATION
International Journal of Fluid Mechanics Research, Vol.46, 2019, issue 1
Konda Jayarami Reddy, G. Sivaiah, M. C Raju, P. Chandra Reddy
FLOW AND HEAT TRANSFER DUE TO A STRETCHING VERTICAL CYLINDER EMBEDDED IN A POROUS MEDIUM IN THE PRESENCE OF A MAGNETIC FIELD AND HEAT SOURCE
Special Topics & Reviews in Porous Media: An International Journal, Vol.7, 2016, issue 3
MUKESH SHARMA, MONIKA MIGLANI, N. R. Garg
BUOYANCY EFFECTS ON UNSTEADY REACTIVE VARIABLE PROPERTIES FLUID FLOW IN A CHANNEL FILLED WITH A POROUS MEDIUM
Journal of Porous Media, Vol.21, 2018, issue 8
Oluwole Daniel Makinde, Lazarus Rundora
THERMAL RADIATION EFFECT ON INCLINED ARTERIAL BLOOD FLOW THROUGH A NON-DARCIAN POROUS MEDIUM WITH MAGNETIC FIELD
First Thermal and Fluids Engineering Summer Conference, Vol.17, 2015, issue
Madhu Sharma, R. K. Gaur, Bhupendra K. Sharma
FINITE ELEMENT ANALYSIS OF ROTATING OSCILLATORY MAGNETO-CONVECTIVE RADIATIVE MICROPOLAR THERMO-SOLUTAL FLOW
International Journal of Fluid Mechanics Research, Vol.45, 2018, issue 6
Ali Kadir, MD. Shamshuddin, O. Anwar Bég