Abstract
The present study investigates a Casson fluid flow in the presence of free convection of combined heat and mass transfer toward an unsteady permeable stretching sheet with thermal radiation, viscous dissipation and chemical reaction. The governing partial differential equations are reduced to a system of nonlinear ordinary differential equations and then solved by an efficient Runge–Kutta–Fehlberg method. The dimensionless velocity is decreased by increasing values of the chemical reaction and magnetic parameter while fluid temperature is significantly reduced by increasing values of the Prandtl number. The heat transfer rate is reduced with increasing values of thermal radiation and magnetic parameters.
Similar content being viewed by others
References
Crane, L.J., Flow past a Stretching Plate, Zeit. Ang. Mat. Phys., 1970, vol. 21, no. 4, pp. 645–647.
Pavlov, K.B., Magnetohydrodynamic Flow of an IncompressibleViscous Fluid Caused by the Deformation of a Plane Surface, Magnetohydr., 1974, vol. 10, pp. 146–148.
Gupta, P.S. and Gupta, A.S., Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing, Canadian J. Chem. Eng., 1977, vol. 55, no. 6, pp. 744–746.
Mansur, S. and Ishak, A., The Flow and Heat Transfer of a Nanofluid past a Stretching/Shrinking Sheet with a Convective Boundary Condition, Abst. Appl. Anal., vol. 2013, article ID350647.
Butt, A.S. and Ali, A., A Computational Study of Entropy Generation in Magnetohydrodynamic Flow and Heat Transfer over an Unsteady Stretching Permeable Sheet, Eur. Phys. J. Plus, 2014, vol. 129, p. 13.
Shateyi, S. andMotsa, S.S., Variable Viscosity onMagnetohydrodynamic Fluid Flow and Heat Transfer over an Unsteady Stretching Surface with Hall Effect, Bound. Val. Probl., 2010, vol. 2010, article ID 257568.
Magyari, E. and Chamkha, A.J., Combined Effect of Heat Generation or Absorption and First-Order Chemical Reaction on Micropolar Fluid Flows over a Uniformly Stretched Permeable Surface: The Full Analytical Solution, Int. J. Therm. Sci., 2010, vol. 49, pp. 1821–1828.
Ishak, A., Nazar, R., and Pop, I., Heat Transfer over an Unsteady Stretching Permeable Surface with PrescribedWall Temperature, Nonlin. An., RWA, 2009, vol. 10, pp. 2909–2913.
Nandeppanavar, M.M. and Siddalingappa, M.N., Effect of Viscous Dissipation and Thermal Radiation on Heat Transfer over a Non-Linearly Stretching Sheet through Porous Medium, Int. J. Appl. Mech. Eng., 2013, vol. 18, pp. 461–474.
Ibrahim, S.M. and Reddy, N.B., Radiation and Mass Transfer Effects on MHD Free Convection Flow along a Stretching Surface with ViscousDissipation and HeatGeneration, Int. J. Appl.Math. Mech., 2012, vol. 8, no. 8, pp. 1–21.
Afify, A., MHD Free Convective Flow and Mass Transfer over a Stretching Sheet with Chemical Reaction, Heat Mass Transfer, 2004, vol. 40, pp. 495–500.
Mabood, F., Khan, W.A., and Ismail, A.I.Md., MHD Boundary Layer Flow and Heat Transfer of Nanofluids over a Nonlinear Stretching Sheet: A Numerical Study, J. Magn. Magn. Mater., 2015, vol. 374, pp. 569–576.
Hajmohammadi, M.R. and Nourazar, S.S., Conjugate Forced Convection Heat Transfer from a Heated Flat Plate of Finite Thickness and Temperature-Dependent Thermal Conductivity, Heat Transfer Eng., 2014, vol. 35, pp. 863–874.
Khan, W.A. and Pop, I., Boundary-Layer Flow of a Nanofluid past a Stretching Sheet, Int. J. Heat Mass Transfer, 2010, vol. 53, pp. 2477–2483.
Hajmohammadi, M.R. and Nourazar, S.S., On the Solution of Characteristic Value Problems Arising in Linear Stability Analysis; Semi Analytical Approach, Appl.Math. Comp., 2014, vol. 239, pp. 126–132.
Casson, N., Rheology ofDisperseSystems, in FlowEquation for PigmentOil Suspensions of the Printing Ink Type. Rheology of Disperse Systems, Mill, C.C., Ed., London: Pergamon, 1959, pp. 84–102.
Eldabe, N.T.M. and Salwa, M.G.E., Heat Transfer of MHD Non-Newtonian Casson Fluid Flow between Two Rotating Cylinders, J. Phys. Soc. Japan, 1995, vol. 64, p. 4164.
Boyd, J., Buick, J.M., and Green, S., Analysis of the Casson and Carreau–Yasuda Non-Newtonian Blood Models in Steady and Oscillatory Flow Using the Lattice Boltzmann Method, Phys. Fluids, 2007, vol. 19, pp. 93–103.
Venkatesan, J., Sankar, D.S., Hemalatha, K., and Yatim Y., Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries, J. Appl.Math., vol. 2013, article ID 583809.
Mustafa, M., Hayat, T., Pop, I., and Aziz, A., Unsteady Boundary Layer Flow of a Casson Fluid Due to an Impulsively Started Moving Flat Plate, Heat Transfer, Asian Res., 2011, vol. 40, no. 6, pp. 563–576.
Nadeem, S., Haq, R.U., and Lee, C., MHD Flow of a Casson Fluid over an Exponentially Shrinking Sheet, Sci. Iran. B, 2012, vol. 19, no. 6, pp. 1550–1553.
Bhattacharyya K., MHD Stagnation-Point Flow of Casson Fluid and Heat Transfer over a Stretching Sheet with Thermal Radiation, J. Therm., vol. 2013, article ID 169674.
Attia, H.A. and Sayed-Ahmed, M.E., Transient MHD Couette Flow of a Casson Fluid between Parallel Plates with Heat Transfer, Italian J. Pure Appl. Math., 2013, vol. 27, pp. 19–38.
Mukhopadhyay, S., Bhattacharyya, K., and Hayat, T., Exact Solutions for the Flow of Casson Fluid over a Stretching Surface with Transpiration and Heat Transfer Effects, Chinese Phys. B, 2013, vol. 22, pp. 114701–114705.
Pramanik, S., Casson Fluid Flow and Heat Transfer past an Exponentially Porous Stretching Surface in Presence of Thermal Radiation, Ain Shams Eng. J., 2014, vol. 5, pp. 205–212.
Qasim, M. and Noreen, S., Heat Transfer in Boundary Layer Flow in a Casson Fluid over Permeable Shrinking Sheet with Viscous Dissipation, Euro. Phys. J. Plus., 2014, vol. 129, pp. 14007–14015.
Malik, M.Y., Naseer, M., Nadeem, S., and Rehman, A., The Boundary Layer Flow of Casson Nanofluid over a Vertical Exponentially Stretching Cylinder, Appl. Nanosci., 2013, DOI 10.1007/s13204-013-0267-0.
Shehzad, S.A., Hayat, T., Qasim, M., and Asghar, S., Effects of Mass Transfer on MHD Flow of Casson Fluid with Chemical Reaction and Suction, Brazilian J. Chem. Eng., 2013, vol. 30, pp. 187–195.
Hussanan, A., Salleh, M.Z., Tahar, R.M., and Khan, I., Unsteady Boundary Layer Flow and Heat Transfer of a Casson Fluid past an Oscillating Vertical Plate with Newtonian Heating, PLoS ONE, 2014, vol. 9, no. 10, p. e108763; DOI:10.1371/journal.pone.0108763.
Andersson, H.I., Aarseth, J.B., and Dandapat, B.S., Heat Transfer in a Liquid Film on Unsteady Stretching Surface, Int. J. HeatMass Transfer, 2000, vol. 43, no. 1, pp. 69–74.
Mukhodhayay, S., Diffusion of Chemically Reactive Species in Casson Fluid Flow over an Unsteady Permeable Stretching Surface, J. Hydrodyn., 2013, vol. 25, no. 4, pp. 591–598.
Hossain, M.A., Khanafer, K., and Vafai, K., The Effect of Radiation on Free Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate, Int. J. Therm. Sci., 2001, vol. 40, no. 2, pp. 115–124.
Raptis, A., Radiation and Free Convection Flow through a Porous Medium, Int. Comm. Heat Mass Transfer, 1998, vol. 25, pp. 289–2995.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shateyi, S., Mabood, F. & Lorenzini, G. Casson fluid flow: Free convective heat and mass transfer over an unsteady permeable stretching surface considering viscous dissipation. J. Engin. Thermophys. 26, 39–52 (2017). https://doi.org/10.1134/S1810232817010052
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1810232817010052