Sains Malaysiana 49(5)(2020): 1201-1208

http://dx.doi.org/10.17576/jsm-2020-4905-25

G-Jitter Fully Developed Heat and Mass Transfer by Mixed Convection Flow between Two Parallel Plates with Constant Heat Flux

(Ketar-G Pemindahan Haba Terbentuk Penuh oleh Aliran Olakan Campuran antara Dua Plat Selari dengan Fluks Haba Tetap)

WAN NOR ZALEHA AMIN¹, AHMAD QUSHAIRI MOHAMMAD¹, SHARIDAN SHAFIE¹* & MUHAMMAD QASIM²

¹Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia

81310 UTM Johor Bahru, Johor Darul Takzim, Malaysia

²COMSATS University Islamabad, Park Road, Tarlai Kalan, 455000 Islamabad, Pakistan

Received: 27 February 2019/Accepted: 16 January 2020

ABSTRACT

In this research, the problem of heat and mass transfer in mixed convection flow induced by g-jitter is studied analytically. The flow passes through an infinite length of vertical parallel plates. The left wall of the plate is prescribed with constant heat flux while the right wall is maintained at a constant temperature. The governing boundary layer equations are transformed into dimensionless equations by using the appropriate dimensionless variables. The behaviors of the velocity, temperature, and concentration profiles of the fluid are analyzed by Fourier method and illustrated graphically as well. Results show that due to an increase in value of wall temperature, the fluid temperature increases. It is found that the controlling parameters strongly affect the heat and mass transfer characteristics in g-jitter fluid flow.

Keywords: Constant heat flux; g-jitter; mixed convection; two vertical plates

ABSTRAK

Dalam kajian ini, masalah bagi aliran pemindahan haba dan jisim di dalam aliran olakan campuran yang disebabkan oleh ketar-g dikaji secara analitik. Aliran ini melepasi satu plat selari menegak yang panjangnya tidak terhingga. Dinding sebelah kiri plat ditetapkan dengan fluks haba tetap manakala dinding sebelah kanan pula dikekalkan pada suhu tetap. Persamaan menakluk bagi lapisan sempadan diubah ke dalam persamaan tak bermatra dengan menggunakan pemboleh ubah tak bermatra yang bersesuaian. Telatah bagi profil halaju, suhu dan kepekatan bendalir dianalisis dengan kaedah Fourier dan juga diilustrasi secara bergraf. Keputusan menunjukkan bahawa dengan peningkatan nilai suhu dinding, suhu cecair juga meningkat. Didapati bahawa parameter pengawal sangat mempengaruhi ciri pemindahan haba dan jisim dalam aliran bendalir ketar-g.

Kata kunci: Dua plat menegak; fluks haba tetap; ketar-g; olakan campuran

REFERENCES

Altunkaya, A.N., Avci, M. & Aydin, O. 2017. Effects of viscous dissipation on mixed convection in a vertical parallel-plate microchannel with asymmetric uniform wall heat fluxes: The slip regime. International Journal of Heat and Mass Transfer 111: 495-499.

Bakar, N.A., Roslan, R., Karimipour, A. & Hashim, I. 2019. Mixed convection in lid-driven cavity with inclined magnetic field. Sains Malaysiana 48(2): 451-471.

Chen, Y.C. 2004. Non-Darcy flow stability of mixed convection in a vertical channel filled with a porous medium. International Journal of Heat and Mass Transfer 47(6-7): 1257-1266.

Chen, Y.C., Chung, J.N., Wu, C.S. & Lue, Y.F. 2000. Non-Darcy mixed convection in a vertical channel filled with a porous medium. International Journal of Heat and Mass Transfer 43(13): 2421-2429.

Hammou, Z.A., Benhamou, B., Galanis, N. & Orfi, J. 2004. Laminar mixed convection of humid air in a vertical channel with evaporation or condensation at the wall. International Journal of Thermal Sciences 43(6): 531-539.

Kamal, F., Zaimi, K., Ishak, A. & Pop, I. 2019. Stability analysis of MHD stagnation-point flow towards a permeable stretching/shrinking sheet in a nanofluid with chemical reactions effect. Sains Malaysiana 48(1): 243-250.

Kumar, J.P., Umavathi, J.C., Pop, I. & Biradar, B.M. 2009. Fully developed mixed convection flow in a vertical channel containing porous and fluid layer with isothermal or isoflux boundaries. Transport in Porous Media 80(1): 117-135.

Kumari, M. & Nath, G. 2004. Mixed convection boundary layer flow over a thin vertical cylinder with localized injection/suction and cooling/heating. International Journal of Heat and Mass Transfer 47(5): 969-976.

Lee, J.S., Xu, X. & Pletcher, R.H. 2004. Large eddy simulation of heated vertical annular pipe flow in fully developed turbulent mixed convection. International Journal of Heat and Mass Transfer 47(3): 437-446.

Mahat, R., Rawi, N.A., Kasim, A.R.M. & Shafie, S. 2017. Mixed convection boundary layer flow of viscoelastic nanofluid past a horizontal circular cylinder: Case of constant heat flux. Paper presented at the Journal of Physics: Conference Series.

Naser, N., Kasim, A.R.M. & Aurangzaib, S.S. 2013. G-Jitter mixed convection on double diffusion adjacent to a vertical stretching sheet. Recent Advances in Mathematics 7: 174-181.

Rajvanshi, S.C. & Saini, B.S. 2010. Free convection MHD flow past a moving vertical porous surface with gravity modulation at constant heat flux. International Journal of Theoretical and Applied Sciences 2(1): 29-33.

Rawi, N.A., Ilias, M.R., Jiann, L.Y., Isa, Z.M. & Shafie, S. 2018. The effect of copper nanoparticles on mixed convection flow of jeffrey fluid induced by g-jitter. Journal of Nanofluids 7(1): 156-162.

Rawi, N.A., Ilias, M.R., Isa, Z.M. & Shafie, S. 2017a. Effect of gravity modulation on mixed convection flow of second grade fluid with different shapes of nanoparticles. Malaysian Journal of Fundamental and Applied Sciences 13(2): 132-136.

Rawi, N.A., Kasim, A.R.M., Isa, Z.M., Mangi, A. & Shafie, S. 2017b. G-jitter effects on the mixed convection flow of nanofluid past an inclined stretching sheet. Frontiers in Heat and Mass Transfer 8: e99384.

Rawi, N.A., Amin, W.N.Z., Admon, M.A. & Shafie, S. 2017c. G-jitter fully developed heat transfer by mixed convection flow of nanofluid in a vertical channel. Malaysian Journal of Fundamental and Applied Sciences 13(3). DOI: https://doi.org/10.11113/mjfas.v16n1.1385.

Rosas, I.Y., Treviño, C. & Martínez-Suástegui, L. 2017. Experimental study of mixed convection heat transfer in a vertical channel with a one-sided semicylindrical constriction with prescribed heat flux. International Journal of Heat and Fluid Flow 67: 155-167.

Roşca, N.C. & Pop, I. 2013. Mixed convection stagnation point flow past a vertical flat plate with a second order slip: Heat flux case. International Journal of Heat and Mass Transfer 65: 102-109.

Sajid, M., Pop, I. & Hayat, T. 2010. Fully developed mixed convection flow of a viscoelastic fluid between permeable parallel vertical plates. Computers & Mathematics with Applications 59(1): 493-498.

Sharidan, S., Amin, N. & Pop, I. 2005. G-jitter fully developed combined heat and mass transfer by mixed convection flow in a vertical channel. International Communications in Heat and Mass Transfer 32(5): 657-665.

Sivasamy, A., Selladurai, V. & Rajesh Kanna, P. 2010. Mixed convection on jet impingement cooling of a constant heat flux horizontal porous layer. International Journal of Thermal Sciences 49(7): 1238-1246.

*Corresponding author; email: sharidan@utm.my