Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

Volumes:
Volume 47, 2020 Volume 46, 2019 Volume 45, 2018 Volume 44, 2017 Volume 43, 2016 Volume 42, 2015 Volume 41, 2014 Volume 40, 2013 Volume 39, 2012 Volume 38, 2011 Volume 37, 2010 Volume 36, 2009 Volume 35, 2008 Volume 34, 2007 Volume 33, 2006 Volume 32, 2005 Volume 31, 2004 Volume 30, 2003 Volume 29, 2002 Volume 28, 2001 Volume 27, 2000 Volume 26, 1999 Volume 25, 1998 Volume 24, 1997 Volume 23, 1996 Volume 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.2020028543
pages 217-228

INFLUENCE OF CHEMICAL REACTION ON MAGNETOHYDRODYNAMIC FLOW OVER AN EXPONENTIAL STRETCHING SHEET: A NUMERICAL STUDY

Pradyumna K. Pattnaik
Department of Mathematics, College of Engineering and Technology, BBSR, 751029, India
S. R. Mishra
Department of Mathematics, Siksha 'O' Anusandhan Deemed to be University, Khandagiri, Bhubaneswar-751030, Odisha, India
A. K. Barik
Department of Mechanical Engineering, College of Engineering and Technology, BBSR, 751029, India
A. K. Mishra
Research scholar, Ravenshaw University, Cuttack, Odisha, India

RÉSUMÉ

The present paper analyzes the effect of chemical reaction on free convective magnetohydrodynamic (MHD) flow of steady, laminar, incompressible fluid with non-uniform heat source/sink. The flow passes through an exponential radiative stretching sheet in the presence of magnetic field. Suitable similar transformation is used to convert the non-linear partial differential equation to ordinary. Due to high non-linearity, analytical approach for these coupled non-linear equations does not hold well. Therefore, these transformed ordinary differential equations (ODEs) are solved by using a numerical technique adopting the Runge-Kutta fourth-order method accompanied with the shooting technique. The influences of various physical parameters on velocity, temperature, and solutal concentration profiles are presented through graphs and the numerical computation of physical quantities such as rate of shear stress, rate of heat and mass transfer are obtained and tabulated. Validation of the present results with that of earlier established result is made and it is in excellent agreement. The major finding of the said results is discussed in the results and discussion section elaborately. It has been noticed that buoyant forces enhance the velocity profile, and heat generation parameter increases, whereas absorption decreases the fluid temperature and destructive chemical reaction increases whereas generative reaction decreases the fluid concentration.

RÉFÉRENCES

  1. Abo-Eldahab, E.M. and El Aziz, M.A., Blowing/Suction Effect on Hydromagnetic Heat Transfer by Mixed Convection from an Inclined Continuously Stretching Surface with Internal Heat Generation/Absorption, Int. J. Therm.. Sci., vol. 43, pp. 709-719, 2004.

  2. Babu, M.J. and Sandeep, N., MHD Non-Newtonian Fluid Flow over a Slandering Stretching Sheet in the Presence of Cross-Diffusion Effects, Alexandria Eng. J, vol. 55, pp. 2193-2201,2016.

  3. Brewster, M.Q., Thermal Radiative Transfer Properties, New York, NY: John Wiley & Sons, 1972.

  4. Choudhary, M.K., Chaudhary, S., and Sharma, R., Unsteady MHD Flow and Heat Transfer over a Stretching Permeable Surface with Suction or Injection, Proc. Eng., vol. 127, pp. 703-710,2015.

  5. Daniel, Y.S. and Daniel, S.K., Effects of Buoyancy and Thermal Radiation on MHD Flow over a Stretching Porous Sheet Using Homotopy Analysis Method, Alexandria Eng. J., vol. 54, pp. 705-712,2015.

  6. Das, K., Nanofluid Flow over a Non-Linear Permeable Stretching Sheet with Partial Slip, J. Egypt. Math. Soc., vol. 23, pp. 451-456,2015.

  7. Das, K., Sharma, R.P., and Sarkar, A., Heat and Mass Transfer of a Second Grade Magnetohydrodynamic Fluid over a Convectively Heated Stretching Sheet, J. Comput. Des. Eng., vol. 3, pp. 330-336,2016.

  8. Das, K., Sharma, R.P., and Duari, P.R., Hydromagnetic Rarefied Fluid Flow over a Wedge in the Presence of Surface Slip and Thermal Radiation, Int. J. Appl. Mech. Eng, vol. 22, no. 4, pp. 827-837,2017.

  9. Dessie, H. and Kishan, N., MHD Effects on Heat Transfer over Stretching Sheet Embedded in Porous Medium with Variable Viscosity, Viscous Dissipation and Heat Source/Sink, Ain Shams Eng. J, vol. 5, pp. 967-977,2014.

  10. Ferdows, M., Sandeep, N., and Sharma, R.P., Enhanced Heat Transfer in Unsteady Magnetohydrodynamic Nanofluid Flow Em-bedded with Aluminum Alloy Nanoparticles, J. Mol. Liq., vol. 234, pp. 437-443,2017.

  11. Ibrahim, W., The Effect of Induced Magnetic Field and Convective Boundary Condition on MHD Stagnation Point Flow and Heat Transfer of Upper Convected Maxwell Fluid in the Presence of Nanoparticle past a Stretching Sheet, Propuls. Power Res., vol. 5, no. 2, pp. 164-175,2016.

  12. Ishak, A., MHD Boundary Layer Flow due to an Exponentially Stretching Sheet with Radiation Effect, Sains Malaysiana, vol. 40, no. 4, pp. 391-395,2011.

  13. Jain, S. and Choudhary, R., Effects of MHD on Boundary Layer Flow in Porous Medium due to Exponentially Shrinking Sheet with Slip, Proc. Eng, vol. 127, pp. 1203-1210,2015.

  14. Jat, R.N. and Chand, G., MHD Flow and Heat Transfer over an Exponentially Stretching Sheet with Viscous Dissipation and Radiation Effects, Appl. Math. Sci, vol. 7, no. 4, pp. 167-180,2013.

  15. Krishna, P.M., Sandeep, N., and Sharma, R.P., Computational Analysis of Plane and Parabolic Flow of MHD Carreau Fluid with Buoyancy and Exponential Heat Source Effects, Eur. Phys. J. Plus, vol. 132, pp. 202-216,2017a.

  16. Krishna, P.M., Sandeep, N., Sharma, R.P., and Makinde, O.D., Thermal Radiation Effect on 3D Slip Motion of AlCu-Water and Cu-Water Nanofluids over a Variable Thickness Stretched Surface, Defect Diffus. Forum, vol. 377, pp. 141-154,2017b.

  17. Krishna, P.M., Sharma, R.P., and Sandeep, N., Boundary Layer Analysis of Persistent Moving Horizontal Needle in Blasius and Sakiadis Magnetohydrodynamic Radiative Nanofluid Flows, Nucl. Eng. Technol., vol. 49, pp. 1654-1659,2017c.

  18. Mabood, F., Khan, W.A., and Ismail, A.M., MHD Flow over Exponential Radiating Stretching Sheet Using Homotopy Analysis Method, J. King Saud Univ. Eng. Sci., vol. 29, pp. 68-74,2017.

  19. Mahanthesh, B., Gireesha, B.J., Hayat, T., and Alsaedi, A., Marangoni Convection in Casson Liquid Flow due to an Infinite Disk with Exponential Space Dependent Heat Source and Cross-Diffusion Effects, Res. Phys, vol. 9, pp. 78-85,2018a.

  20. Mahanthesh, B., Gireesha, B.J., Prasannakumara, B.C., and Shashikumar, N.S., Marangoni Convection Radiative Flow of Dusty Nanoliquid with Exponential Space Dependent Heat Source, Nucl. Eng. Technol., vol. 49, pp. 1660-1668,2017a.

  21. Mahanthesh, B., Gireesha, B.J., Gorla, R.S.R., Abbasi, F.M., and Shehzad, S.A., Numerical Solutions for Magnetohydrodynamic Flow of Nanofluid over a Bidirectional Non-Linear Stretching Surface with Prescribed Surface Heat Flux Boundary, J. Magn. Magn. Mater., vol. 417, pp. 189-196,2016.

  22. Mahanthesh, B., Gireesha, B.J., Prasannakumara, B.C., and Sampath Kumar, P.B., Magneto-Thermo-Marangoni Convective Flow of Cu-H2O Nanoliquid past an Infinite Disk with Particle Shape and Exponential Space-Based Heat Source Effects, Res. Phys., vol. 7, pp. 2990-2996,2017b.

  23. Mahanthesh, B. and Gireesha, B.J., Scrutinization of Thermal Radiation, Viscous Dissipation and Joule Heating Effects on Marangoni Convective Two-Phase Flow of Casson Fluid with Fluid-Particle Suspension, Res. Phys, vol. 8, pp. 869-878,2018b.

  24. Mahanthesh, B. and Gireesha, B.J., Thermal Marangoni Convection in Two-Phase Flow of Dusty Casson Fluid, Res. Phys, vol. 8, pp. 537-544,2018c.

  25. Mahanthesh, B., Sampath Kumar, P.B., Gireesha, B.J., Manjunatha, S., and Gorla, R.S.R., Nonlinear Convective and Radiated Flow of Tangent Hyperbolic Liquid due to Stretched Surface with Convective Condition, Res. Phys, vol. 7, pp. 2404-2410, 2017c.

  26. Mahanthesh, B., Gireesha, B.J., Shashikumar, N.S, and Shehzad, S.A, Marangoni Convective MHD Flow of SWCNT and MWCNT Nanoliquids due to a Disk with Solar Radiation and Irregular Heat Source, Physica E: Low-Dimensional Syst. Nanostruct, vol. 94, pp. 25-30,2017d.

  27. Mahanthesh, B., Gireesha, B.J., Sheikholeslami, M., Shehzad, S.A., and Prasannakumara, B.C., Nonlinear Radiative Flow of Casson Nanoliquid past a Cone and Wedge with Magnetic Dipole, Mathematical Model of Renewable Energy, J. Nanofluids, vol. 7, no. 6, pp. 1089-1100,2018d.

  28. Mandal, I.C. and Mukhopadhyay, S., Heat Transfer Analysis for Fluid Flow over an Exponentially Stretching Porous Sheet with Surface Heat Flux in Porous Medium, Ain Shams Eng. J, vol. 4, pp. 103-110,2013.

  29. Mishra, S.R., Nayak, B., and Sharma, R.P., MHD Stagnation-Point Flow past over a Stretching Sheet in the Presence of Non-Darcy Porous Medium and Heat Source/Sink, Defect Diffus. Forum, vol. 374, pp. 92-105,2017.

  30. Mishra, S.R., Pattnaik, P.K., and Dash, G.C., Effect of Heat Source and Double Stratification on MHD Free Convection in a Micropolar Fluid, Alexandria Eng. J., vol. 54, pp. 681-689,2015.

  31. Mishra, S.R., Pattnaik, P.K., Bhatti, M.M., and Abbas, T., Analysis of Heat and Mass Transfer with MHD and Chemical Reaction Effects on Viscoelastic Fluid over a Stretching Sheet, Indian J. Phys, 2018. DOI: 10.1007/s12648-017-1022-2.

  32. Mukhopadhyay, S., Slip Effects on MHD Boundary Layer Flow over an Exponentially Stretching Sheet with Suction/Blowing and Thermal Radiation, Ain Shams Eng. J, vol. 4, pp. 485-491,2013a.

  33. Mukhopadhyay, S., MHD Boundary Layer Flow and Heat Transfer over an Exponentially Stretching Sheet Embedded in a Thermally Stratified Medium, Alexandria Eng. J., vol. 52, pp. 259-265,2013b.

  34. Naramgari, S. and Sulochana, C., MHD Flow over a Permeable Stretching/Shrinking Sheet of a Nanofluid with Suction/Injection, Alexandria Eng. J, vol. 55, pp. 819-827,2016.

  35. Pattnaik, P.K. and Biswal, T., MHD Free Convective Boundary Layer Flow of a Viscous Fluid at a Vertical Surface through Porous Media with Non-Uniform Heat Source, IJISET, vol. 2, no. 3, pp. 211-223,2015a.

  36. Pattnaik, P.K. and Biswal, T., Analytical Solution of MHD Free Convective Flow through Porous Media with Time Dependent Temperature and Concentration, WalailakJ. Sci. Tech., vol. 12, no. 9, pp. 749-762,2015b.

  37. Rashidi, M.M., Ali, M., Freidoonimehr, N., Hossenin, A., Anwar, B.O., and Hung, T.K., Homotopy Simulation of Nanofluid Dynamics from a Non-Linearly Stretching Isothermal Permeable Sheet with Transpiration, Meccanica, vol. 49, pp. 469-482, 2014.

  38. Reddy, M.G., Padma, P., and Shankar, B., Effects of Viscous Dissipation and Heat Source on Unsteady MHD Flow over a Stretch-ing Sheet, Ain Shams Eng. J, vol. 6, pp. 1195-1201,2015.

  39. Sajid, M. and Hayat, T., Influence of Thermal Radiation on the Boundary Layer Flow due to an Exponentially Stretching Sheet, Int. Commun. Heat Mass Transf, vol. 35, pp. 347-356,2008.

  40. Sakiadis, B.C., Boundary Layer Behavior on Continuous Solid Surfaces: I. Boundary Layer Equations for Two-Dimensional and Axisymmetric Flow, AIChE J, vol. 5, pp. 26-28,1961.

  41. Saranya, S., Ragupathi, P., Ganga, B., Sharma, R.P., and Hakeem, A.K.A., Non-Linear Radiation Effects on Magnetic/Non-Magnetic Nanoparticles with Different Base Fluids over a Flat Plate, Adv. Powder Technol., vol. 29, pp. 1977-1990,2018.

  42. Sharma, R.P., Avinash, K., Sandeep, N., and Makinde, O.D., Thermal Radiation Effect on Non-Newtonian Fluid Flow over a Stretched Sheet of Non-Uniform Thickness, Defect Diffus. Forum, vol. 377, pp. 242-259,2017.

  43. Sharma, R.P., Ibrahim, S.M., Jain, M., and Mishra, S.R., Chemical Reaction Effect on MHD Rotating Fluid over a Vertical Plate with Variable Thermal Conductivity: A Numerical Study, Indian J. Pure Appl. Phys, vol. 56, pp. 732-740,2018a.

  44. Sharma, R.P., Makinde, O.D., and Animasaun, I.L., Buoyancy Effects on MHD Unsteady Convection of a Radiating Chemically Reacting Fluid past a Moving Porous Vertical Plate in a Binary Mixture, Defect Diffus. Forum, vol. 387, pp. 308-318,2018b.


Articles with similar content:

INFLUENCE OF JOULE HEATING AND THERMAL RADIATION ON UNSTEADY HYDROMAGNETIC FLOW OF CHEMICALLY REACTING CASSON FLUID OVER AN INCLINED POROUS STRETCHING SHEET
Special Topics & Reviews in Porous Media: An International Journal, Vol.10, 2019, issue 4
Challa Kalyan Kumar, Suripeddi Srinivas
NUMERICAL EXAMINATION OF MHD NONLINEAR RADIATIVE SLIP MOTION OF NON-NEWTONIAN FLUID ACROSS A STRETCHING SHEET IN THE PRESENCE OF A POROUS MEDIUM
Heat Transfer Research, Vol.50, 2019, issue 12
J. V. Ramana Reddy, V. Sugunamma, Naramgari Sandeep, Kempannagari Anantha Kumar
MIXED CONVECTION SLIP FLOW WITH HEAT TRANSFER AND POROUS MEDIUM
Journal of Porous Media, Vol.17, 2014, issue 11
Swati Mukhopadhyay, Iswar Chandra Mandal, Tasawar Hayat
ENTROPY GENERATION IN A WILLIAMSON NANOFLUID NEAR A STAGNATION POINT OVER A MOVING PLATE WITH BINARY CHEMICAL REACTION AND ACTIVATION ENERGY
Heat Transfer Research, Vol.49, 2018, issue 12
Shirley Abelman, Mohammad Mehdi Rashidi, Aurang Zaib, A J Chamkha
STUDY OF PARTIAL SLIP MECHANISM ON FREE CONVECTION FLOW OF VISCOELASTIC FLUID PAST A NONLINEARLY STRETCHING SURFACE
Computational Thermal Sciences: An International Journal, Vol.11, 2019, issue 1-2
A. Bhattacharyya, Manoj Kumar Mishra, Gauri Shanker Seth