Home Effects of Partial Slip on Chemically Reactive Solute Distribution in MHD Boundary Layer Stagnation Point Flow Past a Stretching Permeable Sheet
Article
Licensed
Unlicensed Requires Authentication

Effects of Partial Slip on Chemically Reactive Solute Distribution in MHD Boundary Layer Stagnation Point Flow Past a Stretching Permeable Sheet

  • Swati Mukhopadhyay EMAIL logo
Published/Copyright: December 13, 2014

Abstract

This paper presents the magnetohydrodynamic (MHD) boundary layer stagnation point flow with diffusion of chemically reactive species undergoing first-order chemical reaction over a permeable stretching sheet in presence of partial slip. With the help of similarity transformations, the partial differential equations corresponding to momentum and the concentration equations are transformed into non-linear ordinary differential equations. Numerical solutions of these equations are obtained by shooting method. It is found that the horizontal velocity increases with the increasing value of the ratio of the free stream velocity and the stretching velocity. Velocity decreases with the increasing magnetic parameter when the free-stream velocity is less than the stretching velocity but the opposite behavior is noted when the free-stream velocity is greater than the stretching velocity. Due to suction, fluid velocity decreases at a particular point of the surface. With increasing velocity slip parameter, velocity increases when the free-stream velocity is greater than the stretching velocity. But the concentration decreases in this case. Concentration decreases with increasing mass slip parameter.

Acknowledgment

Thanks are indeed due to the reviewers for their suggestions.

References

1. HiemenzK. Die grenzschicht in einem in dem gleichformingen flussigkeitsstrom eingetauchten gerade kreiszylinder. Dingler Polytech J1911;326:321410.Search in Google Scholar

2. ArielPD. Stagnation point flow with suction: an approximate solution. J Appl Mech1994;61:9768.10.1115/1.2901589Search in Google Scholar

3. BurdeGI. Non–steady stagnation–point flows over permeable surfaces: explicit solutions of the Navier–Stokes equations. ASME J Fluids Eng1995;117:18991.10.1115/1.2816811Search in Google Scholar

4. AttiaH. Hydromagnetic stagnation point flow with heat transfer over a permeable surface. Arabian J Sci Eng2003;28:10712.Search in Google Scholar

5. LayekGC, MukhopadhyayS, Sk SamadA. 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 Transfer2007;34:34756.10.1016/j.icheatmasstransfer.2006.11.011Search in Google Scholar

6. NazarR, AminN, FilipD, PopI. Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet. Int J Eng Sci2004;42:124153.10.1016/j.ijengsci.2003.12.002Search in Google Scholar

7. PopI. MHD flow over asymmetric plane stagnation point. Z Angue Math Mech1983;63:5801.10.1002/zamm.19830631111Search in Google Scholar

8. ArielPD. Hiemenz flow in hydromagnetics. Acta Mech1994;103:3143.10.1007/BF01180216Search in Google Scholar

9. ChamkhaAJ. Hydromagnetic plane and axisymmetric flow near a stagnation point with heat transfer. Int Commun Heat Mass Transfer1998;25:26978.10.1016/S0735-1933(98)00014-1Search in Google Scholar

10. MahapatraTR, DholeyS, GuptaAS. Momentum and heat transfer in the magnetohydrodynamic stagnation point flow of a viscoelastic fluid toward a stretching surface. Meccanica2007;42:26372.10.1007/s11012-006-9040-8Search in Google Scholar

11. XuH, LiaoSJ, PopI. Series solution of unsteady boundary layer flows of non-Newtonian fluids near a forward stagnation point. J Non-Newtonian Fluid Mech2006;139:3143.10.1016/j.jnnfm.2006.06.003Search in Google Scholar

12. HayatT, AbbasZ, SajidM. MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface. Chaos Solitons Fractals2009;39:8408.10.1016/j.chaos.2007.01.067Search in Google Scholar

13. HayatT, JavedT, AbbasZ. MHD flow of a micropolar fluid near a stagnation-point towards a non-linear stretching surface. Nonlin Anal Real World Appl2009;10:151426.10.1016/j.nonrwa.2008.01.019Search in Google Scholar

14. LayekGC, MukhopadhyayS, GorlaRSR. Stagnation-point flow towards a heated stretching sheet with variable fluid viscosity. Int J Fluid Mech Res2005;32:53848.10.1615/InterJFluidMechRes.v32.i5.30Search in Google Scholar

15. LayekGC, MukhopadhyayS, Sk SamadA. Scaling group of transformations for boundary layer stagnation-point flow through a porous medium towards a heated stretching sheet. Math Model Anal2006;11:18797.10.3846/13926292.2006.9637312Search in Google Scholar

16. NazarR, AminN, PopI. Unsteady mixed convection boundary layer flow near the stagnation point on a vertical surface in a porous medium. Int J Heat Mass Transfer2004;47:26818.10.1016/j.ijheatmasstransfer.2004.01.002Search in Google Scholar

17. IshakA, NazarR, PopI. Mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet. Meccanica2006;4:150918.Search in Google Scholar

18. IshakA, NazarR, PopI. Mixed convection on the stagnation point flow towards a vertical, continuously stretching sheet. ASME J Heat Transfer2007;129:108790.10.1115/1.2737482Search in Google Scholar

19. PalD. Heat and mass transfer in stagnation-point flow towards a stretching surface in the presence of buoyancy force and thermal radiation. Meccanica2009;44:14558. doi:10.1007/s11012-008-9155–110.1007/s11012-008-9155-1Search in Google Scholar

20. SinghG, SharmaPR, ChamkhaAJ. Effect of volumentric heat generation/absorption on mixed convection stagnation point flow on an iso-thermal vertical plate in porous media. Int J Ind Math2010;2:5971.Search in Google Scholar

21. ArielPD. Two dimensional stagnation point flow of an elastico-viscous fluid with partial slip. Z Angew Math Mech2008;88:3204.10.1002/zamm.200700041Search in Google Scholar

22. RahimpourM, MohebpourSR, KimiaeifarA, BagheriGH. On the analytical solution of axisymmetric stagnation flow towards a shrinking sheet. Int J Mech2008;2:110.Search in Google Scholar

23. BhattacharyyaK, LayekGC. Effects of suction/blowing on steady boundary layer stagnation-point flow and heat transfer towards a shrinking sheet with thermal radiation. Int J Heat Mass Transfer2011;54:3027.10.1016/j.ijheatmasstransfer.2010.09.043Search in Google Scholar

24. AnderssonHI. Slip flow past a stretching surface. Acta Mech2002;158:1215.10.1007/BF01463174Search in Google Scholar

25. WangCY. Flow due to a stretching boundary with partial slip – an exact solution of the Navier-Stokes equations. Chem Eng Sci2002;57:37457.10.1016/S0009-2509(02)00267-1Search in Google Scholar

26. ArielPD, HayatT, AsgharS. The flow of an elastico-viscous fluid past a stretching sheet with partial slip. Acta Mech2006;187:2935.10.1007/s00707-006-0370-3Search in Google Scholar

27. FangT, ZhangJ, YaoS. Slip MHD viscous flow over a stretching sheet – an exact solution. Commun Nonlin Sci Numer Simul2009;14:37317.10.1016/j.cnsns.2009.02.012Search in Google Scholar

28. WangCY. Similarity stagnation point solutions of the Navier-Stokes equations-review and extension. Eur J Mech B Fluids2008;27:67883.10.1016/j.euromechflu.2007.11.002Search in Google Scholar

29. BhattacharyyaK, MukhopadhyayS, LayekGC. Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet. Int J Heat Mass Transfer2011;54:30813.10.1016/j.ijheatmasstransfer.2010.09.041Search in Google Scholar

30. BhattacharyyaK, MukhopadhyayS, LayekGC. Effects of partial slip on boundary layer stagnation-point flow and heat transfer towards a stretching sheet with temperature dependent fluid viscosity. Acta Tech2012;57:113.Search in Google Scholar

31. MukhopadhyayS, AnderssonHI. Effects of slip and heat transfer analysis of flow over an unsteady stretching surface. Heat Mass Transfer2009;45:144752.10.1007/s00231-009-0516-7Search in Google Scholar

32. MukhopadhyayS. Effects of slip on unsteady mixed convective flow and heat transfer past a stretching surface. Chin Phys Lett2010;27:124401.10.1088/0256-307X/27/12/124401Search in Google Scholar

33. BhattacharyyaK, MukhopadhyayS, LayekGC. Slip effects on unsteady boundary layer stagnation-point flow and heat transfer towards a stretching sheet. Chin Phys Lett2011;28:094702.10.1088/0256-307X/28/9/094702Search in Google Scholar

34. MukhopadhyayS. Chemically reactive solute transfer in a boundary layer slip flow along a stretching cylinder. Front Chem Sci Eng2011;5:38591.10.1007/s11705-011-1101-4Search in Google Scholar

36. MukhopadhyayS. MHD boundary layer slip flow along a stretching cylinder. Ain Shams Eng J2012. http://dx.doi.org/10.1016/j.asej.2012.07.00310.1016/j.asej.2012.07.003Search in Google Scholar

37. MukhopadhyayS, UddinMS, LayekGC. Lie group analysis of MHD boundary layer slip flow past a heated stretching sheet in presence of heat source/sink. Int J Appl Math Mech2012;8:5166.Search in Google Scholar

38. BhattacharyyaK, LayekGC. Similarity solution of MHD boundary layer flow with diffusion and chemical reaction over a porous flat plate with suction/blowing. Meccanica2011. doi:10.1007/s11012-011-9461–x10.1007/s11012-011-9461-xSearch in Google Scholar

39. MukhopadhyayS. Chemically reactive solute transfer in boundary layer flow along a stretching cylinder in porous medium. Afr Math2012. doi:10.1007/s13370-012-0094–610.1007/s13370-012-0094-6Search in Google Scholar

Published Online: 2014-12-13
Published in Print: 2015-3-1

©2015 by De Gruyter

Articles in the same Issue

  1. Frontmatter
  2. A Novel Catalyst Preparation Technique to Improve Performance of Ni/γ-Al2O3 Catalysts in Partial Oxidation of Methane
  3. Characterization and Deactivation Study of Mixed Vanadium and Potassium Oxide Supported on Microemulsion-Mediated Titania Nanoparticles as Catalyst in Oxidative Dehydrogenation of Propane
  4. Effect of Titania Loading on Properties and Catalytic Activity of Nanostructured Phosphate–Vanadia-Impregnated Silica–Titania Oxidative–Acidic Bifunctional Catalyst
  5. Effects of Partial Slip on Chemically Reactive Solute Distribution in MHD Boundary Layer Stagnation Point Flow Past a Stretching Permeable Sheet
  6. Heat and Mass Transfer of Thermophoretic MHD Flow of Powell–Eyring Fluid over a Vertical Stretching Sheet in the Presence of Chemical Reaction and Joule Heating
  7. Integration of Optimization and Model Predictive Control of an Intensified Continuous Three-Phase Catalytic Reactor
  8. Kinetics of Reactive Extraction of Pyruvic Acid Using Tributylamine Dissolved in n-Butyl Acetate
  9. Mathematical Modeling, Verification and Optimization for Catalytic Membrane Esterification Micro-reactor
  10. Metal-Foam-Supported Pd/Al2O3 Catalysts for Catalytic Combustion of Methane: Effect of Interaction between Support and Catalyst
  11. Simulation of Soot Size Distribution in a Counterflow Flame
  12. Study on Effective Radial Thermal Conductivity of Gas Flow through a Methanol Reactor
  13. Surface Functionalization and Magnetic Motion of Hydrophobic Magnetic Nanoparticles with Different Sizes
  14. Towards Production of γ-valerolactone via Hydrogenation of Aqueous Levulinic Acid
  15. Nitrogen Removal to Minimize Energy Consumption of the Two WWTPs Choutrana II and Menzel Bourguiba in Tunisia
Downloaded on 16.11.2025 from https://www.degruyterbrill.com/document/doi/10.1515/ijcre-2014-0053/pdf
Scroll to top button