Lie group analysis of stagnation-point flow of a nanofluid

Microfluidics and Nanofluidics

Volumn 15, Issue 2, 2013, Pages 267-274

  Das, Kalidas ^a  

^a KALYANI GOVERNMENT ENGINEERING COLLEGE   (India)

Author keywords

Chemical reaction; Lie group analysis; Magnetic field; Nanofluid

Indexed keywords

GOVERNING EQUATIONS; INTERNAL HEAT GENERATION; LIE GROUP ANALYSIS; NANOFLUIDS; NANOPARTICLE VOLUME FRACTIONS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; STAGNATION-POINT FLOW; TWO-DIMENSIONAL BOUNDARY LAYERS;

BOUNDARY LAYER FLOW; CHEMICAL REACTIONS; HEAT FLUX; INCOMPRESSIBLE FLOW; MAGNETIC FIELDS; POROUS MATERIALS;

NANOFLUIDICS;

EID: 84881246873     PISSN: 16134982     EISSN: 16134990     Source Type: Journal    
DOI: 10.1007/s10404-013-1147-3     Document Type: Article

References (27)

1. Abdul-Kahar R, Kandasamy R, Muhaimin I (2011) Scaling group transformation for boundary-layer flow of a nanofluid past a porous vertical stretching surface in the presence of chemical reaction with heat radiation. Comput Fluids 52:15-21
2. Aziz A, Khan WA (2012) Natural convective boundary layer flow of a nanofluid past a convectively heated vertical plate. Int J Thermal Sci 52:83-90
3. Buongiorno J (2006) Convective transport in nanofluids. ASME J Heat Transf 128:240-250
4. Das K (2012) Slip flow and convective heat transfer of nanofluids over a permeable stretching surface. Comput Fluids 64:34-42
5. Gandarias ML, Torrisi M, Tracina R (2007) On some differential invariants for a family of diffusion equations. J Phys A Math Theor 40:8803-8813
6. Hamad MAA, Ferdows M (2012) Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: a Lie group analysis. Commun Nonlinear Sci Numer Simul 17:132-140
7. Hassan M, Tabar MM, Nemati H, Domairry G, Noori F (2011) An analytical solution for boundary layer flow of a nanofluid past a stretching sheet. Int J Thermal Sci 50:2256-2263
8. Ibrahim FS, Mansour MA, Hamad MAA (2005) Lie group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinite vertical plate. Electron J Differ Equ 2005:1-17
9. Kandasamy R, Muhaimin I, Saim HB (2010a) Lie group analysis for the effects of temperature-dependent fluid viscosity and chemical reaction on MHD free convective heat and mass transfer with variable stream conditions. Nucl Eng Des 240:39-46
10. Kandasamy R, Muhaimin I, Saim HB (2010b) Lie group analysis for the effect of temperature-dependent fluid viscosity with thermophoresis and chemical reaction on MHD free convective heat and mass transfer over a porous stretching surface in the presence of heat source/sink. Commun Nonlinear Sci Numer Simul 15:2109-2123
11. Kandasamy R, Hayat T, Obaidatc S (2011a) Group theory transformation for Soret and Dufour effects on free convective heat and mass transfer with thermophoresis and chemical reaction over a porous stretching surface in the presence of heat source/sink. Nucl Eng Des 241:2155-2161
12. Kandasamy R, Loganathanb P, Puvi Arasub P (2011b) Scaling group transformation for MHD boundary-layer flow of a nanofluid past a vertical stretching surface in the presence of suction/injection. Nucl Eng Des 241:2053-2059
13. Khan WA, Pop I (2010) Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf 53:2477-2483
14. Khan WA, Aziz A (2011a) Double-diffuusive natural convective boundary layer flow in a porous medium saturated with a nanofluid over a vertical plate: prescribed surface heat, solute and nanoparticle fluxes. Int J Thermal Sci 50:2154-2160
15. Khan WA, Aziz A (2011b) Natural convection flow of a nanofluid over a vertical plate with uniform surface heat flux. Int J Thermal Sci 50:1207-1214
16. Kuznetsov AV, Nield DA (2010) Natural convective boundary layer flow of a nanofluid past a vertical plate. Int J Thermal Sci 49:243-247
17. Layek GC, Mukhopadhyay S, Samad Sk A (2007) Heat and mass transfer analysis for boundary layer stagnation point flow towards a heated porous stretching sheet with heat absorption/generation and suction/blowing. Int Commun Heat Mass Transf 34:347-356 (Pubitemid 46351904)
18. Makinde OD, Aziz A (2011) Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. Int J Thermal Sci 50:1326-1332
19. Oberlack M (1999) Similarity in non-rotating and rotating turbulent pipe flows. J Fluid Mech 379:1-22
20. Pandey N, Pandey BD, Sharma VD (2009) Symmetry groups and similarity solutions for the system of equations for a viscous compressible fluid. Appl Math Comput 215:681-685
21. Pakdemirli M, Yurusoy M (1998) Similarity transformations for partial differential equations. SIAM Rev 40:96-101 (Pubitemid 128628444)
22. Patil PM, Kulkarni PS (2008) Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation. Int J Thermal Sci 47:1043-1054 (Pubitemid 351697734)
23. Torrisi M, Tracina R (2005) Second order differential invariants of a family of diffusion equations. J Phys A Math Theor 38:7519-7526 (Pubitemid 41168972)
24. Van Gorder RA, Sweet E, Vajravelu K (2010) Nano boundary layers over stretching surfaces. Commun Nonlinear Sci Numer Simul 15:1494-1500
25. Yao S, Fang T, Zhong Y (2011) Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions. Commun Nonlinear Sci Numer Simul 16:752-760
26. Yazdi MH, Abdullah S, Hashim I, Sopian K (2011) Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction. Int J Heat Mass Trans 54:3214-3225
27. Yurusoy M, Pakdemirli M, Noyan OF (2011) Lie group analysis of creeping flow of a second grade fluid. Int J Nonlinear Mech 36:955-960