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1.M. Sajid, I. Pop, and T. Hayat, “Fully developed mixed convection flow of a visco-elastic fluid between permeable parallel vertical plates,” Computational Mathematics with Applications 59, 493-488 (2010).
2.M. I. Anwar, I. Khan, S. Shafie, and M. Z. Salleh, “Conjugate effects of heat and mass transfer of nano fluids over a non-linear stretching sheet,” International Journal of Physical Sciences 7, 4081-4092 (2012).
3.M. E. Erdogan, “A note on the unsteady flow of a viscous fluid due to an oscillating plane wall,” International Journal of Nonlinear Mechanics 35, 16 (2000).
4.R. S. Tripathy, G. C. Dash, S. R. Mishra, and S. Baag, “Chemical reaction effect on MHD free convective surface over a moving vertical plane through porous medium,” Alexandria Engineering Journal 54(3), 673-679 (2015).
5.R. C. Chaudhary and A. Jain, “Combined heat and mass transfer effects on MHD free convection flow past an oscillating plate embedded in porous medium,” Romania Journal of Physics 52, 505524 Bucharest (2007).
6.M. Erdogan, “On unsteady motions of a second-order fluid over a plane wall,” International Journal of Non-Linear Mechanics 38, 10451051 (2003).
7.C. Fetecau, C. Fetecau, and J. Zierep, “Decay of a potential vortex and propagation of a heat wave in a second grade fluid,” International Journal of non-Linear Mechanics 37, 10511056 (2002).
8.C. Fetecau and C. Fetecau, “Starting solutions for some unsteady unidirectional flows of a second grade fluid,” International Journal of Engineering Science 43, 781789 (2005).
9.W.A. Khan and A. Aziz, “Natural convection flow of a nanofluid over a vertical plate with uniform surface heat flux,” International Journal of Thermal Sciences 50(7), 12071214 (2011).
10.C. Fetecau, Corina Fetecau, and M. Rana, “General solutions for the unsteady flow of second-grade fluids over an infinite plate that applies arbitrary shear to the fluid,” Zeitschrift für Naturforschung A. A Journal of Physical Sciences 66, 753-759 (2011).
11.A. C. Eringen, “Theory of Micropolar Fluids,” Journal of Mathematics and Mechanics 16, 1-18 (1966).
12.A. C. Eringen, “Theory of Thermomicropolar Fluids,” Journal of Mathematical Analysis and Applications 38, 480-496 (1972).
13.T. Ariman, M. A. Turk, and N. D. Sylvester, “Microcontinuum Fluid Mechanics -A Review,” International journal of Engineering Science 11, 905-930 (1973).
14.T. Ariman, M. A. Turk, and N. D. Sylvester, “Applications of microcontinuum fluid mechanics review,” International journal of Engineering Science 12, 273-293 (1974).
15.A. C. Eringen, Microcontinuum Field Theories II: Fluent Media (Springer, New York, 2001).
16.G. Lukaszewicz, Micropolar Fluids: Theory and Applications (Birkhauser, Basel, 1999).
17.R. S. Agarwal and C. Dhanapal, “Flow and heat transfer in a micropolar fluid past a flat plate with suction and heat sources,” International Journal Engineering Science 26, 1257-1266 (1988).
18.P. S. Ramachandran and M. N. Mathur, “Heat transfer in boundary layer flow of a micropolar fluid past a curved surface with suction and injection,” International Journal Engineering Science 17, 625-639 (1979).
19.H. A. M. El-Arabawy, “Effect of suction/injection on the flow of a micropolar fluid past a continuously moving plate in the presence of radiation,” International Journal Heat Mass Transfer 46, 14711477 (2003).
20.R. Nazar et al., “Free convection boundary layer on an isothermal sphere in a micropolar fluid,” International Communications in Heat and Mass Transfer 29, 377-386 (2002).
21.C. Y. Cheng, “Natural convection heat and mass transfer from a sphere in micropolar fluids with constant wall temperature and concentration,” International Communications, Heat and Mass Transfer 35, 750-755 (2008).
22.H. H. Sherief, M. S. Faltas, and E. A. Ashmawy, “Exact solution for the unsteady flow of a semi-infinite micropolar fluid,” Acta Mechanica Sinica 27, 354-359 (2011).
23. Aurangzaib, A. R. M. Kasim, N. F. Mohammad, and S. Sharidan, “Unsteady MHD mixed convection flow with heat and mass transfer over a vertical plate in a micropolar fluid-saturated porous medium,” Journal of Applied Science and Engineering 16, 141-150 (2013).
24.M. A. El-Hakiem, “Heat transfer from moving surfaces in a micropolar fluid with internal heat generation,” Journal of Engineering and Applied Sciences 1, 30-36 (2014).
25.I. A. Hassanien, A. J. Bakier, and R. S. R. Gorla, “Natural convection boundary layer flow of a micropolar fluid,” Zeitschrift für Angewandte Mathematik und Mechanik 77, 751-755 (1997).
26.A. Ishak, R. Nazar, and I. Pop, “Heat transfer over a stretching surface with variable heat flux in micropolar fluids,” Physics Letters A 372, 559561 (2008).
27.Y. Y. Lok, N. Amin, D. Campean, and I. Pop, “Steady mixed convection flow of a micropolar fluid near the stagnation point on a vertical surface,” International Journal Numerical Methods Heat Fluid Flow 15, 654670 (2005).
28.R. S. R. Gorla, “Micropolar boundary layer flow at stagnation on a moving wall,” International Journal of Engineering Science 21, 25-33 (1983).
29.D. Srinivasacharya and I. Rajyalakshmi, “Creeping flow of a micropolar fluid past a porous sphere,” Applied Mathematics and Computation 153, 843854 (2004).
30.E. M. Abo-Eldahab and A. F. Ghonaim, “Radiation effect on heat transfer of a micropolar fluid through a porous medium,” Applied Mathematics and Computation 169, 500510 (2005).
31.K. Vafai and C. L. Tien, “Boundary and inertia effects on flow and heat transfer in porous media,” International Journal Heat Mass Transfer 24, 195-203 (1981).
32.S. Nadeem, M. Hussain, and M. Naz, “MHD stagnation flow of a micropolar fluid through a porous medium,” Meccanica 45, 869-880 (2010).
33.M. Sheikholeslami1, H. R. Ashorynejad1, D. D. Ganji1, and M. M. Rashidi, “Heat and mass transfer of a micropolar fluid in a porous channel,” Communications in Numerical Analysis 2014, 1-20 (2014).
34.E.A. Ashmawy, “Fully developed natural convective micropolar fluid flow in a vertical channel with slip,” Journal of the Egyptian Mathematical Society (2014),
35.R. A. Damesh, T. A. Al-Azab, B. A. Shannak, and M. A. Husein, “Unsteady natural convection heat transfer of micropolar fluid over a vertical surface with constant heat flux,” Turkish Journal of Engineering and Environmental Sciences 31, 225-233 (2007).
36.M. Modatheri, A. M. Rashadi, and A. J. Chamkha, “An analytical study of MHD heat and mass transfer oscillatory flow of a micropolar fluid over a vertical permeable plate in a porous medium,” Turkish Journal of Engineering Environmental Science 33, 24525 (2009).
37.M. Devakar1 and T. K. V. Iyengar, “Stokes’ second problem for a micropolar fluid through state-space approach,” Energy Conversion and Management 52, 934945 (2011).
38.S. K. Pandey and D. Tripathi, “Unsteady peristaltic flow of micro-polar fluid in a finite channel,” Z. Naturforsch 66a, 181192 (2011).
39.T. Javed, I. Ahmad, Z. Abbas, and T. Hayat, “Rotating flow of a micropolar fluid induced by a stretching surface,” Z. Naturforsch 65a, 829836 (2010).
40.A. A. Mostafa, E. Shimaa Mahmoud, and Waheed, “MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity,” Journal of the Egyptian Mathematical Society 20, 2027 (2012).
41.M. Sajid, N. Ali, and T. Hayat, “On exact solutions for thin film flows of a micropolar fluid,” Communications in nonlinear science and numerical simulation 14, 451461 (2009).
42.Md. Zia ul Haque, Md. Mahmud Alam, M. Ferdows, and A. Postelnicu, “Micropolar fluid behaviors on steady MHD free convection and mass transfer flow with constant heat and mass fluxes, joule heating and viscous dissipation,” Journal of King Saud University – Engineering Sciences 24, 7184 (2012).
43.B.I. Olajuwon and J.I. Oahimire, “Unsteady free convection heat and mass transfer in an MHD micropolar fluid in the presence of thermo diffusion and thermal radiation,” International Journal of Pure and Applied Mathematics 84, 15-37 (2013).
44.S. M. Abo-Dahab and R. A. Mohamed, “Unsteady flow of rotating and chemically reacting MHD micropolar fluid in slip-flow regime with heat generation,” International Journal of Thermophysics 34, 2183-2208 (2013).
45.H. Sajjad and A. Farooq, “Effects of heat source/sink on MHD flow of micropolar fluids over a shrinking sheet with mass suction,” Journal of Basic and Applied Scientific Research 4, 207-215 (2014).
46.B. Mohanty, S. R. Mishra, and H. B. Pattnaik, “Numerical investigation on heat and mass transfer effect of micropolar fluid over a stretching sheet,” Alexandria Engineering Journal 54(2), 223-232 (2015).
47.S. R. Mishra, G.C. Dash, and P. K. Pattnaik, “Flow of heat and mass transfer on MHD free convection in a micropolar fluid with heat source,” Alexandria Engineering Journal 54(3), (2015).
48.P. Puri and P.K. Kythe, “Some inverse Laplace transforms of exponential form,” ZAMP Journal of Applied Mathematics and Physics 39, 150156 (1988).
49.L. Debnath and D. Bhatta, Integral transforms and their applications (Chapman & Hall/CRC Press, Boca Raton, FL, 2007).
50.M. Narahari and L. Debnath, “Some new convolution properties and inversion formulas of Laplace transforms,” Integral Transforms and Special Functions 25, 412-422 (2014).
51.C. J. Toki and J.N. Tokis, “Exact solutions for the unsteady free convection flows on a porous plate with time-dependent heating,” ZAMM Journal of Applied Mathematics and Mechanics 87, 4-13 (2007).

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This is an attempt to investigate the unsteady flow of a micropolar fluid with free convection caused due to temperature and concentration differences. Micropolar fluid is taken over a vertical plate oscillating in its own plane. Wall couple stress is engaged at the bounding plate together with isothermal temperature and constant mass diffusion. Problem is modelled in terms of coupled partial differential equations together with some physical conditions and then written in non-dimensional form. Exact solutions are determined using the Laplace transform method. For convenience, they are expressed in simplified form using exponential functions and complementary error functions. Using computational software MATHCAD, analytical results of velocity, temperature, microrotation and concentration are plotted in graphs and discussed for various embedded parameters. Results of skin friction, wall couple stress, rate of heat transfer (Nusselt number) and rate of mass transfer (Sherwood number) are also evaluated. Present results of micropolar fluid are graphically compared with published results of Newtonian fluid. It is found that micropolar fluid velocity is smaller than Newtonian fluid.


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