## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Diffusion of chemically reactive species of a Maxwell fluid due to an unsteady stretching sheet with slip effect

**ABSTRACT**

The influence of a first-order slip boundary condition on the diffusion of chemically reactive species in an unsteady MHD boundary layer flow of a non-Newtonian Maxwell fluid over a vertical permeable linearly stretching or shrinking sheet is considered. The whole analysis is performed taking the first-order chemical reaction and linearly varying wall concentration. Choosing appropriate similarity variables, the governing equations of the problem are transformed into a set of nonlinear coupled self-similar equations, which are then solved numerically by the shooting technique. A comparison with previously published results is performed for certain cases and the results are found to be in excellent agreement. The flow features and mass transfer characteristics for different values of the governing parameters are graphically presented and discussed in detail.

**KEYWORDS**

PAPER SUBMITTED: 2016-11-17

PAPER REVISED: 2017-01-15

PAPER ACCEPTED: 2017-01-26

PUBLISHED ONLINE: 2017-02-12

- Takhar, H. S., Chamkha, A. J., Nath, G., Flow and Mass Transfer on a Stretching Sheet with a Magnetic Field and Chemically Reactive Species , Int. J. Eng. Sci. 38, (2000), pp. 1303- 1314.
- Kandasamy, R., Periasamy, K.,Sivagnana Prabhu, K. K., Effect of Chemical Reaction, Heat and Mass Transfer along a Wedge with Heat Source and Concentration in the Presence of Suction or Injection, Int. J. Heat Mass Transfer 48, (2005), pp. 1388-1394.
- Anjali Devi, S. P., Kandasamy, R., Effects of Chemical Reaction, Heat and Mass Transfer on Non- Linear MHD Laminar Boundary-Layer Flow over a Wedge with Suction or Injection, Int. Commun. Heat Mass Transfer 29, (2002), pp. 707-716.
- Mahdy, A., Boundary Layer Slip Flow on Diffusion of Chemically Reactive Species over a Vertical Non-Linearity Stretching Sheet, J. Comput. Theore. Nanosci. 10, (2013), 11, pp. 2782 -2788.
- Muthucumaraswamy, R., Ganesan, P., Diffusion and First-Order Chemical Reaction on Impulsively Started Infinite Vertical Plate with Variable Temperature, Int. J. Therm. Sci. 41, (2002), pp. 475-479.
- Stanislaw, S., Nonlinear Macrokinetics of Heat and Mass Transfer and Chemical or Electrochemical Reactions, Int. J. Heat Mass Transfer 47, (2004), pp. 515-526.
- Abdulkadir, D., Yuksel, K., Veziroglu, T. N., Numerical Investigation of Heat and Mass Transfer in a Metal Hydride Bed, Appl. Math. Comput. 150, (2004), pp. 169-180
- Elbarbary, E.M.E., Elgazery, N. S. Chebyshev Finite Difference Method for the Effect of Variable Viscosity on Magneto-Micropolar Fluid Flow with Radiation, Int. Commun. Heat Mass Transfer 31, (2004), pp. 409-419.
- Mukhopadhyay, S., Effects of Slip on Unsteady Mixed Convective Flow and Heat Transfer Past a Porous Stretching Surface, Nuc. Eng. Design 241, (2011), pp. 2660-2665.
- Andersson, H. I., Hansen, O. R., Holmedal, B., Diffusion af a Chemically Reactive Species From a Stretching Sheet, Int. J. Heat Mass Transfer 37, (1994), pp. 659-664.
- Elshehawey, E. F., Eldabe, N. T., Elbarbary, E. M. E., Elgazery, N. S., Chebyshev Finite- Difference Method for the Effects of Hall and Ion-Slip Currents on Magneto-Hydrodynamic Flow with Variable Thermal Conductivity, Can. J. Phys. 82, (2004), pp. 701-715.
- Terrill, R. M., A Note On Laminar Flow Through a Porous Pipe with Slip, IMA J. Appl. Math. 33, (1984), pp. 169-174.
- Kistler, S. F., Hydrodynamics of Wetting, edited by J. C. Berg, Wettability, Dekker, 311-429 1993.
- Mahdy, A., Soret and Duffor Effect on Double Diffusion Mixed Convection from a Vertical Surface in a Porous Medium Saturated with a Non-Newtonian Fluid, J. Non-Newtonian Fluid Mech. 165, (2010), pp. 568-575.
- Sadeghy, K., Sharifi, M., Local Similarity Solution for the Flow af a â€˜Second-Grade' Viscoelastic Fluid above a Moving Plate, Int. J. Non-linear Mech. 39, (2004), pp. 1265-1273.
- Fetecau, C., Decay af a Potential Vortex in an Oldroyd-B Fluid, Int. J. Eng. Sci. 43, (2005), pp. 340-351.
- Serdar, B., Salih Dokuz, M., Three-Dimensional Stagnation Point Flow of a Second Grade Fluid Towards a Moving Plate, Int. J. Eng. Sci. 44, (2006), pp. 49-58.
- Haroun, M. H., Effect of Deborah Number and Phase Difference on Peristaltic Transport of a Third-Order Fluid on an Asymmetric Channel, Commun. Nonlinear Sci. Numer. Simul. 12, (2007), pp. 464- 480.
- Hassanien, I. A., Flow and Heat Transfer on a Continuous Flat Surface Moving in a Parallel Free Stream of Power-Law Fluid, Appl. Model. 20, (1996), pp. 779-784.
- Siddiqui, A. M., Zeb, A., Ghori, Q. K., Benharbit, A. M., Homotopy Perturbation Method for Heat Transfer Flow of a Third Grade Fluid Between Parallel Plates, Chaos Soliton. Fract. 36, (2008), pp. 182-192.
- Sajid, M., Ahmad, I., Hayat, T., Ayub, M., Unsteady Flow and Heat Transfer of a Second Grade Fluid over a Stretching Sheet, Commun. Nonlinear Sci. Numer. Simul. 14, (2009), pp. 96-108.
- Abel, M. S., Sanjayan, E., Nandeppanavar, M. M., Viscoelastic MHD Flow and Heat Transfer over a Stretching Sheet with Viscous and Ohmic Dissipations, Commun. Nonlinear Sci. Numer. Simul. 13, (2008), pp. 1808-1821.
- Sadeghy, K., Hajibeygi, H., Taghavi, S. M., Stagnation Point Flow of Upper-Convected Maxwell Fluids, Int. J. Non-Linear Mech. 41, (2006), pp. 1242-1247.
- Abel, M. S., Tawade, J. V., Nandeppanavar, M. M., MHD Flow and Heat Transfer for the Upper- Convected Maxwell Fluid over a Stretching Sheet, Meccanica 47, (2012), pp. 385-393.
- Heyhat, M. M., Khabazi, N., Non-Isothermal Flow of Maxwell Fluids above Fixed Flat Plates Under the Influence of a Transverse Magnetic Field, Proc. IMech E Part C: J. Mech. Eng. Sci. 225, (2010).
- Swati Mukhopadhya, Krishnendu Bhattacharyya, Unsteady Flow of a Maxwell Fluid over a Stretching Surface in Presence of Chemical Reaction, J. Egyptian Mathematical Society 20, (2012), pp. 229-234.
- Andersson, H. I., Slip Flow Past a Stretching Surface, Acta Mech. 158, (2002), pp. 121-125.
- Sharidan, S., Mahmood, T., Pop, I., Similarity Solutions for the Unsteady Boundary Layer Flow and Heat Transfer Due to a Stretching Sheet, Int. J. Appl. Mech. Eng. 11, (2006), pp. 647-654.