Darcy-Forchheimer flow of nanofluid due to a curved stretching surface

被引:99
作者
Saif, Rai Sajjad [1 ]
Hayat, T. [2 ,3 ]
Ellahi, R. [1 ,4 ]
Muhammad, Taseer [5 ]
Alsaedi, A. [6 ]
机构
[1] Int Islamic Univ, Dept Math & Stat, Islamabad, Pakistan
[2] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah, Saudi Arabia
[4] King Fahd Univ Petr & Minerals, Res Inst, Ctr Modeling & Comp Simulat, Dhahran, Saudi Arabia
[5] Govt Coll Women Univ, Dept Math, Sialkot, Pakistan
[6] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah, Saudi Arabia
关键词
Nanoparticles; Numerical solution; Darcy-Forchheimer flow; Convective heat and mass conditions; Curved stretching surface; CONVECTIVE HEAT-TRANSFER; 3-DIMENSIONAL FLOW; NATURAL-CONVECTION; MICROPOLAR FLUID; MHD FLOW; WEAR; SLIP; SIMULATION; EQUATIONS; BEHAVIOR;
D O I
10.1108/HFF-08-2017-0301
中图分类号
O414.1 [热力学];
学科分类号
摘要
Purpose The purpose of present communication is to analyze Darcy-Forchheimer flow of viscous nanofluid by curved stretchable surface. Flow in porous medium is characterized by Darcy-Forchheimer relation. Brownian diffusion and thermophoresis are considered. Convective heat and mass boundary conditions are also used at the curved stretchable surface. Design/methodology/approach The resulting nonlinear system is solved through shooting technique. Findings Skin friction coefficient is enhanced for larger porosity parameter and inertia coefficient while reverse trend is noticed for curvature parameter. Local Nusselt number is enhanced for higher Prandtl number and thermal Biot number, whereas the opposite trend is seen via curvature parameter, porosity parameter, inertia coefficient, thermophoresis parameter and Brownian motion parameter. Local Sherwood number is enhanced for Schmidt number, Brownian motion parameter and concentration Biot number, while reverse trend is noticed for curvature parameter, porosity parameter, inertia coefficient and thermophoresis parameter. Originality/value To the best of author's knowledge, no such consideration has been given in the literature yet.
引用
收藏
页码:2 / 20
页数:19
相关论文
共 42 条
[1]   Hydromagnetic slip flow of nanofluid over a curved stretching surface with heat generation and thermal radiation [J].
Abbas, Z. ;
Naveed, M. ;
Sajid, M. .
JOURNAL OF MOLECULAR LIQUIDS, 2016, 215 :756-762
[2]  
[Anonymous], 1946, The flow of homogeneous fluids through porous media
[3]   Unsteady radiative stagnation point flow of MHD carreau nanofluid over expanding/contracting cylinder [J].
Azam, M. ;
Khan, M. ;
Alshomrani, A. S. .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2017, 130 :64-73
[4]   Convective transport in nanofluids [J].
Buongiorno, J .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2006, 128 (03) :240-250
[5]   Non-Darcy natural convection flow for non-Newtonian nanofluid over cone saturated in porous medium with uniform heat and volume fraction fluxes [J].
Chamkha, A. ;
Abbasbandy, S. ;
Rashad, A. M. .
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2015, 25 (02) :422-437
[6]  
Choi S.U.S., 1995, ASME FLUIDS ENG DIV, V231, P99, DOI DOI 10.1063/1.1341218
[7]   FLOW PAST A STRETCHING PLATE [J].
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&
[8]   Radial gravity currents in vertically graded porous media: Theory and experiments for Newtonian and power-law fluids [J].
Di Federico, Vittorio ;
Longo, Sandro ;
Chiapponi, Luca ;
Archetti, Renata ;
Ciriello, Valentina .
ADVANCES IN WATER RESOURCES, 2014, 70 :65-76
[9]  
Forchheimer P, 1901, Z VER DTSCH ING, V45, P1781
[10]   Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux [J].
Hayat, T. ;
Muhammad, Taseer ;
Al-Mezal, Saleh ;
Liao, S. J. .
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2016, 26 (08) :2355-2369