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Fagbade, Adeyemi. (1401). Spectral Quasi-Linearization Approach for Unsteady MHD Boundary Layer Flow of Casson Fluid Due to an Impulsively Stretching Surface. نشریه هنرهای کاربردی, 9(2), 269-278. doi: 10.22075/jhmtr.2016.422
Adeyemi Isaiah Fagbade. "Spectral Quasi-Linearization Approach for Unsteady MHD Boundary Layer Flow of Casson Fluid Due to an Impulsively Stretching Surface". نشریه هنرهای کاربردی, 9, 2, 1401, 269-278. doi: 10.22075/jhmtr.2016.422
Fagbade, Adeyemi. (1401). 'Spectral Quasi-Linearization Approach for Unsteady MHD Boundary Layer Flow of Casson Fluid Due to an Impulsively Stretching Surface', نشریه هنرهای کاربردی, 9(2), pp. 269-278. doi: 10.22075/jhmtr.2016.422
Fagbade, Adeyemi. Spectral Quasi-Linearization Approach for Unsteady MHD Boundary Layer Flow of Casson Fluid Due to an Impulsively Stretching Surface. نشریه هنرهای کاربردی, 1401; 9(2): 269-278. doi: 10.22075/jhmtr.2016.422

Spectral Quasi-Linearization Approach for Unsteady MHD Boundary Layer Flow of Casson Fluid Due to an Impulsively Stretching Surface

Journal of Heat and Mass Transfer Research
مقاله 15، دوره 9، شماره 2 - شماره پیاپی 18، بهمن 2022، صفحه 269-278    اصل مقاله (618.59 K)
نوع مقاله: Full Length Research Article
شناسه دیجیتال (DOI): 10.22075/jhmtr.2016.422
نویسنده
Adeyemi Isaiah Fagbade*
Department of Mathematical Sciences, Federal University of Technology,P.M.B 704,Akure Ondo State, Nigeria
تاریخ دریافت: 13 اردیبهشت 1394،  تاریخ بازنگری: 29 شهریور 1394،  تاریخ پذیرش: 31 خرداد 1395 
چکیده
The present paper seeks to examine a numerical method of solution called spectra quasi-linearization method (SQLM) to the problem of unsteady MHD boundary layer flow of Casson fluid due to an impulsively stretching surface under the influence of a transverse magnetic field, which is an important physical phenomena in engineering applications. The study extends the previous models to account for a classical non-newtonian fluid called Casson fluid under the influence of a transverse magnetic field. The flow model is described in terms of a highly nonlinear partial differential equations. The method of solution Spectral quasi-linearization methods(SQLM) seeks to linearised the original system of PDEs using the Newton-Raphson based quasilinearization method (QLM). The numerical results for the surface shear stress are compared with those of the analytical approach results, and they are found to be in good agreement. The flow controlling parameters are found to have a profound effect on the resulting flow profiles. It is observed that there is a smooth transition from the small time solution to the large time solution. The magnetic field significantly affects the flow field and skin friction coefficient. Indeed, skin friction coefficient is found to decrease rapidly, initially, in small time interval before attaining a steady state for large time.
کلیدواژه‌ها
Casson fluid؛ Magnetohydrodynamic flow؛ Magnetic field؛ Boundary Layer؛ Spectra quasi-linearization method؛ Impulsively stretching sheet؛ Separated by semicolons
مراجع
  1. Bird, R.B., Stewart, W.E. and Lightfoot, E.N, 2007. Transport Phenomena (Revised Second Edition ed.) John Wiley and Sons. ISBN 978-0-470-11539-8.
  2. Chiam, T.C., 1993. Magnetohydrodynamic boundary layer flow due to a continuously moving flat plate. Computers & Mathematics with Applications, 26(4), pp.1-7.
  3. Ishak, A., Nazar, R. and Pop, I., 2009. Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature. Nonlinear Analysis: Real World Applications, 10(5), pp.2909-2913.
  4. Nadeem, S., Haq, R.U. and Lee, C., 2012. MHD flow of a Casson fluid over an exponentially shrinking sheet. Scientia Iranica, 19(6), pp.1550-1553.
  5. Sakiadis, B.C., 1961. Boundary‐layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface. AiChE journal, 7(2), pp.221-225.
  6. Liao, S., 2006. An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Communications in Nonlinear Science and Numerical Simulation, 11(3), pp.326-339.
  7. Nazar, R., Ishak, A. and Pop, I., 2008. Unsteady boundary layer flow over a stretching sheet in a micropolar fluid. International Journal of Mathematical, Physical and Engineering Sciences, 2(3), pp.161-165.
  8. Takhar, H.S., Chamkha, A.J. and Nath, G., 2001. Unsteady three-dimensional MHD-boundary-layer flow due to the impulsive motion of a stretching surface. Acta Mechanica, 146(1-2), pp.59-71.
  9. Hayat, T., Shehzad, S.A. and Alsaedi, A., 2012. Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid. Applied Mathematics and Mechanics, 33, pp.1301-1312.
  10. Prasad, K.V. and Vajravelu, K., 2009. Heat transfer in the MHD flow of a power law fluid over a non-isothermal stretching sheet. International Journal of Heat and Mass Transfer, 52(21-22), pp.4956-4965.
  11. Abel, M.S., Siddheshwar, P.G. and Mahesha, N., 2009. Effects of thermal buoyancy and variable thermal conductivity on the MHD flow and heat transfer in a power-law fluid past a vertical stretching sheet in the presence of a non-uniform heat source. International journal of non-linear mechanics, 44(1), pp.1-12.
  12. Bhattacharyya, K. and Pop, I., 2011. MHD boundary layer flow due to an exponentially shrinking sheet. Magnetohydrodynamics, 47(4), pp.337-344.
  13. Bhattacharyya, K., 2013. Boundary layer stagnation-point flow of Casson fluid and heat transfer towards a shrinking/stretching sheet. Frontiers in Heat and Mass Transfer (FHMT), 4(2).
  14. Astarita, G. and Marrucci, G., 1974. Principles of non-Newtonian fluid mechanics.
  15. Shenoy, A.V. and Mashelkar, R.A., 1982. Thermal convection in non-Newtonian fluids. In Advances in heat transfer (Vol. 15, pp. 143-225). Elsevier.
  16. Crochet, M.J. and Walters, K., 1983. Numerical methods in non-Newtonian fluid mechanics. Annual Review of Fluid Mechanics, 15(1), pp.241-260.
  17. Casson, N., 1959. Flow equation for pigment-oil suspensions of the printing ink-type. Rheology of disperse systems, pp.84-104.
  18. Subba Rao, A., Ramachandra Prasad, V., Bhaskar Reddy, N. and Anwar Bég, O., 2015. Heat transfer in a Casson rheological fluid from a semi‐infinite vertical plate with partial slip. Heat Transfer—Asian Research, 44(3), pp.272-291.
  19. Bird, R.B., Dai, G.C. and Yarusso, B.J., 1983. The rheology and flow of viscoplastic materials. Reviews in chemical engineering, 1(1), pp.1-70.
  20. Mukhopadhyay, S., 2013. Casson fluid flow and heat transfer over a nonlinearly stretching surface. Chinese Physics B, 22(7), p.074701.
  21. Mustafa, M., Hayat, T., Pop, I. and Aziz, A., 2011. Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate. Heat Transfer—Asian Research, 40(6), pp.563-576.
  22. Srinivasa, A.H. and Eswara, A.T., 2014. Unsteady MHD Laminar Boundary Layer Flow and Heat Transfer due to an Impulsively Stretching Surface. International Journal of Modern Sciences and Engineering Technology (IJMSET). V1, (7), pp.32-40.
  23. Shrivastava, U.N. and Usha, S., 1987. Magneto-fluid dynamic boundary layer on a moving continuous flat surface. Indian J. pure appl. Math, 18, pp.741-751.
  24. Noghrehabadi, M. Ghalambaz, E. Izadpanahi and R. Pourrajab. Effect of Magnetic Filed on the Boundary Layer Flow, Heat and Mass Transfer of Nanofluids over a Stretching Cylinder. Journal of Heat and Mass Transfer Research, 2014;1: 9-16.
  25. Ishak, A., Nazar, R. and Pop, I., 2008. Hydromagnetic flow and heat transfer adjacent to a stretching vertical sheet. Heat and Mass Transfer, 44(8), pp.921-927.
  26. Isa, S.S.P.M., Arifin, N.M., Nazar, R., Bachok, N., Ali, F.M. and Pop, I., 2014. Effect of magnetic field on mixed convection boundary layer flow over an exponentially shrinking vertical sheet with suction. International Journal of Mechanical, Aerospace, Industrial and Mechatronics Engineering, 8, p.1519.
  27. Bellman, R.E., 1965. Quasilinearization and nonlinear boundary-value problems (Vol. 3). American Elsevier Publishing Company.
  28. Motsa, S.S., Hayat, T. and Aldossary, O.M., 2012. MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method. Applied Mathematics and Mechanics, 33, pp.975-990.
  29. Motsa, S.S. and Shateyi, S., 2012. Successive linearization analysis of the effects of partial slip, thermal diffusion, and diffusion-thermo on steady MHD convective flow due to a rotating disk. Mathematical Problems in Engineering, 2012.
  30. Awad, F.G., Sibanda, P., Motsa, S.S. and Makinde, O.D., 2011. Convection from an inverted cone in a porous medium with cross-diffusion effects. Computers & Mathematics with Applications, 61(5), pp.1431-1441.
  31. Kechil, S.A. and Hashim, I., 2007. Series solution for unsteady boundary-layer flows due to impulsively stretching plate. Chinese Physics Letters, 24(1), p.139.
  32. Md, A.F., Roslinda, N.A.Z.A.R. and Md, A.N., 2010. Numerical solutions of unsteady boundary layer flow due to an impulsively stretching surface. Journal of Applied Computer Science & Mathematics, 4(2), pp.25-30.
  33. Williams, III, J.C. and Rhyne, T.B., 1980. Boundary layer development on a wedge impulsively set into motion. SIAM Journal on Applied Mathematics, 38(2), pp.215-224.
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