Analytical treatment of MHD free convective flow and mass transfer over a stretching sheet with chemical reaction

Journal of the Taiwan Institute of Chemical Engineers

Volumn 41, Issue 1, 2010, Pages 35-43

  Joneidi, A A ^a   Domairry, G ^b   Babaelahi, M ^c  

^a SHAHROOD UNIVERSITY OF TECHNOLOGY   (Iran)

^b BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

^c K N TOOSI UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Chemical reaction; Homotopy analysis method (HAM); Magneto hydrodynamic (MHD) flow; Mass transfer

Indexed keywords

ANALYTICAL RESULTS; ANALYTICAL TREATMENT; CHEMICAL REACTION PARAMETERS; CONCENTRATION PROFILES; EFFECT OF CHEMICALS; ELECTRICALLY CONDUCTING FLUIDS; FREE CONVECTIVE FLOW; HOMOTOPY ANALYSIS METHODS; MAGNETIC PARAMETERS; MAGNETO HYDRODYNAMIC (MHD) FLOW; ORDER OF REACTION; SCHMIDT NUMBERS; STRETCHING SHEET; STRETCHING SURFACE; TEMPERATURE BOUNDARY; TRANSVERSE MAGNETIC FIELD; VELOCITY PROFILES;

CHEMICAL REACTIONS; FLUID DYNAMICS; HYDRODYNAMICS; MAGNETIC FIELDS; MAGNETOS; MASS TRANSFER; MIXED CONVECTION; NATURAL CONVECTION; NEWTONIAN FLOW;

CHEMICAL ANALYSIS;

EID: 72149115945     PISSN: 18761070     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jtice.2009.05.008     Document Type: Article

References (27)

1. Abbasbandy S. Homotopy Analysis Method for Heat Radiation Equations. International Communication in Heat and Mass Transfer 34 (2007) 380
2. Abbasbandy S. Approximate Solution for the Nonlinear Model of Diffusion and Reaction in Porous Catalysts by Means of the Homotopy Analysis Method. Chemical Engineering Journal 136 (2008) 144
3. Afify A.A. MHD Free Convective Flow and Mass Transfer over a Stretching Sheet with Chemical Reaction. Heat and Mass Transfer 40 (2004) 495
4. Chakrabarti A., and Gupta A.S. Hydromagnetic Flow Heat and Mass Transfer over a Stretching Sheet. Quarterly Applied Mathematics 33 (1979) 73
5. Das U.N., Deka R., and Soundalgekar V.M. Effects of Mass Transfer on Flow Past an Impulsively Started Infinite Vertical Plate with Constant Heat Flux and Chemical Reaction. Journal Forschung Im Ingenieurwesen-Engineering Research 60 (1994) 284
6. Domairry G., and Nadim N. Assessment of Homotopy Analysis Method and Homotopy Perturbation Method in Non-linear Heat Transfer Equation. International Communication in Heat Mass Transfer 35 (2008) 93
7. Domairry G., Mohsenzadeh A., and Famouri M. The Application of Homotopy Analysis Method to Solve Nonlinear Differential Equation Governing Jeffery-Hamel Flow. Communications in Nonlinear Science and Numerical Simulation 14 (2009) 85
8. Domairry G., and Fazeli M. Homotopy Analysis Method to Determine the Fin Efficiency of Convective Straight Fins with Temperature-dependent Thermal Conductivity. Communications in Nonlinear Science and Numerical Simulation 14 (2009) 489
9. Fairbanks D.F., and Wike C.R. Diffusion and Chemical Reaction in an Isothermal Laminar Flow along a Soluble Flat Plate. Industrial & Engineering Chemistry Research 42 (1950) 471
10. Gebhart B. Heat Transfer (1971), McGraw Hill, New York
11. Gebhart B., and Pera L. The Nature of Vertical Natural Convection Flow Resulting from the Combined Buoyancy Effects of Thermal and Mass Diffusion. Journal of Heat Mass Transfer 14 (1971) 2025
12. Gupta P.S., and Gupta A.S. Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing. Canadian Journal of Chemical Engineering 55 (1977) 744
13. Hayat T., Khan M., and Asghar S. Magneto Hydrodynamic Flow of an Oldroyd 6-Constant Fluid. Applied Mathematical Computation 155 (2004) 417
14. Hayat T., and Sajid M. An Analytic Solution for Thin Film Flow of a Forth Grade Fluid Down a Vertical Cylinder. Physics Letter A 361 (2007) 316
15. Hayat T., and Khan M. Homotopy Solutions for a Generalized Second Grade Fluid Past a Porous Plate. Nonlinear Dynamic 24 (2005) 395
16. Hayat T., Khan M., and Ayub M. On Non-linear Flows with Slip Boundary Condition. Zeitschrift für angewandte Mathematik und Physik 56 (2005) 1012
17. Liao, S. J.,"Proposed Homotopy Analysis Techniques for the Solution of Nonlinear Problems," Ph.D. Dissertation. Shanghai Jiao Tong University (1992).
18. Liao S.J. Beyond Perturbation: Introduction to Homotopy Analysis Method (2003), Chapman & Hall/CRC Press, Boca Raton
19. Liao S.J. An Approximate Solution Technique not Depending on Small Parameters: A Special Example. International Journal of Non-Linear Mechanics 303 (1995) 371
20. Liao S.J. An Explicit, Totally Analytic Approximation of Blasius's Viscous Flow Problems. International Journal of Non-Linear Mechanics 34 (1999) 759
21. Liao S.J., and Cheung K.F. Homotopy Analysis of Nonlinear Progressive Waves in Deep Water. Journal of Engineering Mathematics 45 (2003) 103
22. Liao S.J. On the Homotopy Analysis Method for Nonlinear Problems. Applied Mathematics and Computation 47 (2004) 499
23. Liao S.J. A New Branch of Solutions of Boundary-layer Flows over an Impermeable Stretched Plate. International Journal Heat Mass Transfer 48 (2005) 2529
24. Sakiadis B.C. Boundary-layer Behaviour on Continuous Solid Surfaces. I. Boundary-layer Equations for Two-dimensional and Axisymmetric Flow. AIChE J. 7 (1961) 26
25. Sakiadis B.C. Boundary-layer Behavior on Continuous Solid Surfaces. II. The Boundary-layer on a Continuous Flat Surface. AIChE J. 7 (1961) 221
26. Sakiadis B.C. Boundary-layer Behavior on Continuous Solid Surfaces. III. The Boundary-layer on a Continuous Cylindrical Surface. AIChE J. 7 (1961) 467
27. Ziabakhsh Z., Domairry G., and Ghazizadeh H.R. Analytical Solution of the Stagnation-point Flow in a Porous Medium by using the Homotopy Analysis Method. Journal of the Taiwan Institute of Chemical Engineers 40 (2009) 91