پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 678 |
| تعداد مقالات | 9,891 |
| تعداد مشاهده مقاله | 70,061,120 |
| تعداد دریافت فایل اصل مقاله | 49,336,346 |
Analytical and Numerical Studies on Hydromagnetic Flow of Boungiorno Model Nanofluid over a Vertical Plate | ||
| Journal of Heat and Mass Transfer Research | ||
| مقاله 7، دوره 3، شماره 2 - شماره پیاپی 6، بهمن 2016، صفحه 153-164 اصل مقاله (1.18 M) | ||
| نوع مقاله: Full Length Research Article | ||
| شناسه دیجیتال (DOI): 10.22075/jhmtr.2016.362 | ||
| نویسندگان | ||
| A.K. Abdul Hakeem* 1؛ B. Ganga2؛ S. Mohamed Yusuff Ansari3؛ N.Vishnu Ganesh4 | ||
| 1Assistant Professor Department of Mathematics Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamil Nadu | ||
| 2Department of Mathematics,Providence College for Women, Coonoor - 643 104, INDIA | ||
| 3Department of Mathematics, Jamal Mohamed College, Trichy - 6420 020, INDIA | ||
| 4of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts & Science, Coimbatore - 641 020, INDIA. | ||
| تاریخ دریافت: 04 تیر 1394، تاریخ بازنگری: 14 مهر 1394، تاریخ پذیرش: 15 بهمن 1394 | ||
| چکیده | ||
| MHD boundary layer flow of two phase model nanofluid over a vertical plate is investigated both analytically and numerically. A system of governing nonlinear partial differential equations is converted into a set of nonlinear ordinary differential equations by suitable similarity transformations and then solved analytically using homotopy analysis method and numerically by the fourth order Runge-Kutta method along with shooting iteration technique. The effects of magnetic parameter, Prandtl number, Lewis number, buoyancy-ratio parameter, Brownian motion parameter and thermophoresis parameter on the velocity profile, temperature profile and concentration profile of the nanofluid are discussed graphically. The values of reduced local Nusselt number and reduced local sherwood number are tabulated and discussed. It is noted that the Brownian motion and thermophoresis parameters enhance the velocity distribution and the temperature distribution, but it suppress the concentration distribution. Furthermore, comparisons have been made with bench mark solutions for a special case and obtained a very good agreement.. | ||
| کلیدواژهها | ||
| Homotopy Analysis Method؛ MHD؛ Nanofluid؛ Runge-Kutta method؛ Vertical plate | ||
| مراجع | ||
|
[1] S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, {in: D A. Siginer, H.P. Wang (Eds.), Developments and Applications of Non-Newtonian Flows, ASME FED, 231/MD (66)}, 66, 99-105, (1995).
[2] J. Boungiorno, et al., A benchmark study of thermalconductivity of nanofluids,J. Appl. Phys., 106paper 094312,(2009). [3] J. Buongiorno, Convective transport in nanofluids, J. Heat Transfer, 128 (2006) 240-250. [4] P. Rana,R. Bhargava , Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study. Commun. Nonlinear Sci. Numer. Simulat., 17, 212-226,(2012). [5] M.A.A Hamad, Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field, Int. Comm. Heat Mass Transfer., 38, 487-492, (2011).
[6] A.J. Chamkha and A.M. Aly, MHD Free Convection Flow of a Nanofluid past a Vertical Plate in the Presence of Heat Generation or Absorption Effects. Chem. Eng, Commun., 198, 425-441, (2011).
[7] A.J. Chamkha, A.M. Rashad, and E. Al-Meshaiei, “Melting Effect on Unsteady Hydromagnetic Flow of a Nanofluid Past a Stretching Sheet.” Int. J. of Chem. Reactor Eng., 9:A113, (2011).
[8] A.J. Chamkha, A.M. Aly, H. Al-Mudhaf, Laminar MHD Mixed Convection Flow of a Nanofluid along a Stretching Permeable Surface in the Presence of Heat Generation or Absorption Effects, International Journal of Microscale and Nanoscale Thermal and Fluid Transport Phenomena, 2, 51-70, (2011).
[9] R.S.R. Gorla and A.J. Chamkha, Natural Convective Boundary Layer Flow over a Horizontal Plate Embedded in a Porous Medium Saturated with a Non-Newtonian Nanofluid.” International Journal of Microscale and Nanoscale Thermal and Fluid Transport Phenomena, 2, 211- 227, (2011).
[10] R.S.R. Gorla, A.J. Chamkha and A. Rashad, Mixed Convective Boundary Layer Flow over a Vertical Wedge Embedded in a Porous Medium Saturated with a Nanofluid: Natural Convection Dominated Regime. Nanoscale Research Letters, 6 (207), 1-9, (2011).
[11] N. Vishnu Ganesh, B. Ganga, A.K. Abdul Hakeem, Lie symmetry group analysis of magnetic field effects on free convective flow of a nanofluid over a semi infinite stretching sheet, J. Egyptian Math. Soc., 22, 304-310,(2014).
[12] N. Vishnu Ganesh, A. K. Abdul Hakeem , R. Jayaprakash , and B. Ganga, break Analytical and Numerical Studies on Hydromagnetic Flow of Water Based Metal Nanofuids Over a Stretching Sheet with Thermal Radiation Effect, J. Nanofluids , 3, 154-161, (2014).
[13] M. Govindaraju, N. Vishnu Ganesh, B. Ganga, A.K. Abdul Hakeem, Entropy generation analysis of magneto hydrodynamic flow of a nanofluid over a stretching sheet., J. Egyptian Math. Soc.,429-434(2014).
[14] M.M. Rashidi, N.Vishnu Ganesh , A.K. Abdul Hakeem and B. Ganga, Buoyancy Effect on MHD Flow of Nanofluid over a Stretching Sheet in the Presence of Thermal Radiation, J. Mol. liq., 234-238, (2014).
[15] A.K. Abdul Hakeem, N.Vishnu Ganesh, B.Ganga, Magnetic field effect on second order slip flow of nanofluid over a stretching/shrinking sheet with thermal radiation effect, J. Magn. Magn. Mater., 381, 243-257 (2015).
[16] A.V. Kuznetsov, D.A. Nield, Natural convective boundary layer flow of a nanofluid past a vertical plate. Int. J. Therm. Sci., 49, 243-247, (2010).
[17] A.V. Kuznetsov, D.A. Nield, Double-diffusive natural convective boundary-layer flow of a nanofluid past a vertical plate. Int. J. Therm. Sci., 50, 712-717, (2011).
[18] W.A. Khan, I. Pop, Boundary-layer flow of a nanofluid past a stretching sheet, Int. J. Heat Mass Transfer, 53,2477-2483, (2010).
[19] W.A. Khan, A. Aziz, Natural convection flow of a nanofluid over a vertical plate with uniform surface heat flux, Int. J. Therm. Sci., 50(7), 1207-1214, (2011).
[20] R.S.R. Gorla, A. Chamkha, Natural convective boundary layer flow over a horizontal plate embedded in a porous medium saturated with a nanofluid. J. Modern Phy., 2,62-71, (2011).
[21] A. Aziz, W.A. Khan, Natural convective boundary layer flow of a nanofluid past a convectively heated vertical plate, Int. J. Therm. Sci., 52, 83-90, (2012).
[22] F. S. Ibrahim, M. A. Mansour, M. A. A. Hamad, Lie group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinte vertical flat plate, Electronic Journal of Differential Equations, 39, 1-17, (2005).
[23] R.Muthucumaraswamy, B.Janakiraman, MHD and radiation effects on moving isothermal vertical plate with variable mass diffusion, Theoret. Appl. Mech., 33, 17-29, (2006).
[24] H. Yahyazadeh, D. D. Ganji, A. Yahyazadeh, M. T. Khalili, P. Jalili, and M. Jouya, Evaluation of natural convection flow of a nanofluid over a linearly stetching sheet in the presence of magnetic field by the Differential Transformation Method, Thermal Science, 16, 1281-1287, (2012).
[25] S.J. Liao, Beyond perturbation: Introduction to the homotopy analysis method, BocaRaton: Chapman Hall CRC Press,(2000).
[26] S.J. Liao, On the homotopy analysis method for nonlinear problems, Appl. Math. Comput., 147, 499-513, (2004).
[27] S.J. Liao, Y. Tan, A general approach to obtain series solutions of nonlinear differential equations, Stud. Appl. Math. , 119,297-355, (2007).
[28] S. Dinarvand, M.M. Rashidi, A Reliable Treatment of Homotopy Analysis Method for Two-Dimensional Viscous Flow in a Rectangular Domain Bounded by Two Moving Porous Walls, Nonlinear Analysis: Real World Applications 11 (3), 1502-1512, (2010).
[29] M.M. Rashidi, S.A. Mohimanian Pour, Analytic Approximate Solutions for Unsteady Boundary-Layer Flow and Heat Transfer due to a Stretching Sheet by Homotopy Analysis Method, Nonlinear Analysis: Modelling and Control 15 (1), 83-95, (2010).
[30] O. Anwar Bég, M.M. Rashidi, T.A. Bég, M. Asadi, Homotopy Analysis of Transient Magneto-Bio-Fluid Dynamics of Micropolar Squeeze Film in a Porous Medium: a Model for Magneto-Bio-Rheological Lubrication, J. Mechanics in Medicine and Biology, 12 (03), (2012).
[31] M.M. Rashidi, O. Anwar Bég, M.T. Rastegari, A Study of Non-Newtonian Flow and Heat Transfer over a Non-Isothermal Wedge Using the Homotopy Analysis Method, Chem. Eng. Communications 199 (2), 231-256, (2012).
[32] M.M. Rashidi, S.A. Mohimanian Pour, T. Hayat, S. Obaidat, Analytic Approximate Solutions for Steady Flow over a Rotating Disk in Porous Medium with Heat Transfer by Homotopy Analysis Method, Comput.Fluids 54, 1-9, (2012).
[33] M.M. Rashidi,·N. Freidoonimehr,·A. Hosseini, O. Anwar Bég,·T.-K. Hung, Homotopy Simulation of Nanofluid Dynamics from a Non-Linearly Stretching Isothermal Permeable Sheet with Transpiration, Meccanica, 49 (2),469-482, (2014).
[34] A Bejan, Convection Heat Transfer, Wiley, New York, NY, (1984). | ||
|
آمار تعداد مشاهده مقاله: 2,940 تعداد دریافت فایل اصل مقاله: 909 |
||