Numerical simulation of flow and heat transfer in hydromagnetic micropolar fluid between two stretchable disks with viscous dissipation effects

• Autorzy: Ali K. , Ahmad S. , Ashraf M.

Identyfikatory

DOI

10.15632/jtam-pl.54.2.633

• Języki publikacji: EN

Abstrakty

EN

A study of magnetohydrodynamic (MHD) flow with viscous dissipation and heat transfer in an electrically conducting laminar steady viscous incompressible micropolar fluid between two infinite uniformly stretching disks is presented. The transformed self similar nonlinear ODEs are first linearized using a quasi linearization method and then solved by employing a combination of a direct and an iterative method. The study may be beneficial to flow and thermal control of polymeric processing.

Słowa kluczowe

EN

MHD; micropolar fluid; stretchable disk; viscous dissipation; couple stress; heat transfer rate

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 2
• Strony: 633--643
• Opis fizyczny: Bibliogr. 21 poz., rys., tab.

Twórcy

autor

Ali K.

• Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

autor

Ahmad S.

• Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

autor

Ashraf M.

• Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

Bibliografia

• 1. Ali K., Ashraf M., Jameel N., 2014, Numerical simulation of MHD micropolar fluid flow and heat transfer in a channel with shrinking walls, Canadian Journal of Physics, 92(2), 987-996
• 2. Altan T., Oh S., Gegel H.L., 1979, Metal Forming Fundamentals and Applications, American Society of Metals, Metals Park, OH
• 3. Ashraf M., Batool K., 2013, MHD flow of a micropolar fluid over a stretching disk, Journal of Theoretical and Applied Mechanics, 51(1), 25-38
• 4. Ashraf M., Kamal M.A., Syed K.S., 2009a, Numerical simulation of a micropolar fluid between a porous disk and a non-porous disk, Journal of Applied Mathematics and Modelling, 33, 1933-1943
• 5. Ashraf M., Kamal M.A., Syed K.S., 2009b, Numerical study of asymmetric laminar flow of micropolar fluids in a porous channel, Computers and Fluids, 38, 1895-1902
• 6. Eringen A.C., 1964, Simple micropolar fluids, International Journal of Engineering Science, 2, 205-217
• 7. Eringen A.C., 1965, Theory of Micropolar Continua, Proceedings of the Ninth Midwestern Conference
• 8. Eringen A.C., 1966, Theory of micropolar fluids, Journal of Mathematics and Mechanics, 16, 1-18
• 9. Fang T., Zhang J., 2008, Flow between two stretchable disks – An exact solution of the Navier- -Stokes equations, International Communications in Heat and Mass Transfer, 35, 892-895
• 10. Fisher E.G., 1976, Extrusion of Plastics, Wiley New York
• 11. Hayat T., Nawaz M., 2010, Effect of heat transfer on magnetohydrodynamic axisymmetric flow between two stretching sheets, Zeitschrift f¨ur Naturforschung, 65, 961-968
• 12. Hayat T., Nawaz M., Obaidat S., 2011, Axisymmetric magnetohydrodynamic flow of a micropolar fluid between unsteady stretching surfaces, Applied Mathematics and Mechanics, 32, 361-374
• 13. Hoyt J.W., Fabula A.G., 1964, The effect of additives on fluid friction, US Naval Ordinance Test Station Report
• 14. Khan N., Sajid M., Mahmood T., 2015, Heat transfer analysis for magnetohydrodynamics axisymmetric flow between stretching disks in the presence of viscous dissipation and Joule heating, AIP Advances, 5, 057115
• 15. Munawar S., Mehmood A., Ali A., 2011, Effects of slip on flow between two stretchable disks using optimal homotopy analysis method, Canadian Journal of Applied Sciences, 1(2), 50-68
• 16. Neetu S., 2014, MHD flow of the micropolar fluid between eccentrically rotating disks, International Scholarly Research Notices, Article ID-317075
• 17. Rashidi M.M., Kavyani N., Abelman S., 2014, Investigation of entropy generation in MHD and slip flow over a rotating porous disk with variable properties, International Journal of Heat and Mass Transfer, 70, 892-917
• 18. Robert A., Gorder V., Sweet E., Vajravelu K., 2010, Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks, Applied Mathematics and Computation, 216, 1513-1523
• 19. Shercliff J.A., 1965, A Text Book of Magnetohydrodynamics, Pergamon Press Oxford
• 20. Tadmor Z., Klein I., 1970, Engineering Principles of Plasticating Extrusion, Polymer Science and engineering series, Van Norstrand Reinhold New York
• 21. Xinhui S., Liancun Z., Xinxin Z., Xinyi S., 2012, Homotopy analysis method for the asymmetric laminar flow and heat transfer of viscous fluid between contracting rotating disks, Applied Mathematical Modeling, 36, 1806-1820

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.