Influence of Heat Generation and Thermal Radiation on MHD Flow in a Vertical Micro-Porous-Channel in the Presence of Viscous Dissipation
Keywords:Hydromagnetic, wall ambient temperature ratio, velocity slip, temperature jump
This article analyses the influence of heat generation and thermal radiation on steady hydromagnetic fully developed natural convection flow in a vertical micro-porous–channel in the presence of viscous dissipation. The governing ordinary differential equations, exhibiting the physics of the flow formation are displayed. Using the relevant non–dimensional variables, the governing equations are transformed into their corresponding non–dimensional form and then solved exactly by employing the perturbation technique. The influence of different admissible parameters such as fluid wall interaction parameter, Knudsen number, heat generation parameter, thermal radiation parameter, magnetic parameter, Eckert number, and permeability parameter on the fluid velocity, temperature, skin friction coefficient, and heat transfer coefficient at the micro-porous–channel surfaces is discussed with the aid of line graphs and tables.
K. Ali, S. Ahmad and M. Ashraf: Numerical simulation of flow and
heat transfer in the hydromagnetic micropolar fluid
between two stretchable disks with viscous dissipation
effects, Journal of Theoretical and Applied Mechanics, Vol.
, No. 2, 2016, 633–643.
A N. Altunkaya, M. Avci and O. Aydin: 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, Vol. 111, 2017, 495–499.
M. Gnaneswara Reddy, P. Padma and B. Shankar: Effects of viscous
dissipation and heat source on unsteady MHD flow over a
stretching sheet, Ain Shams Engineering Journal, Vol. 6, No.
, 2015, 1195–1201.
S. P. Anjali Devi and B. Ganga: Effects of viscous and joules
dissipation on MHD flow, heat and mass transfer past a
stretching porous surface embedded in a porous medium, Nonlinear Analysis: Modelling and Control, Vol. 14, 2009, 303–314.
B. K. Jha and B. Aina: Impact of viscous dissipation on fully developed natural convection flow in a vertical micro-channel, Journal of Heat Transfer, Vol. 140, 2018, 094502, 1–7.
M. Venkateswarlu, G. V. Ramana Reddy and D. V. Lakshmi: Effects of chemical reaction and heat generation on MHD boundary layer flow of a moving vertical plate with suction and dissipation, Engineering International, Vol. 1, No. 1, 2013, 27–38.
A. Barletta: Laminar mixed convection with viscous dissipation in a vertical channel, Int. J. Heat Mass Transfer, Vol. 41, 1998, 3501–3513.
K. V. Prasad, P. Mallikarjun and H. Vaidya: Mixed convective fully developed flow in a vertical channel in the presence of thermal radiation and viscous dissipation, Int. J. of Applied Mechanics and Engineering, Vol. 22, No. 1, 2017, 123–144.
J. C. Umavathi and A. J. Chamkha: Combined effect of variable viscosity and thermal conductivity on free convection flow of a viscous fluid in a vertical channel, Int. J. Numer. Methods Heat Fluid Flow, Vol. 26, No. 1, 2016, 18–39.
B. K. Jha, B. Aina and A. T. Ajiya: MHD natural convection flow in a vertical parallel plate micro-channel, Ain Shams Engineering Journal, Vol. 5, 2014, 289–295.
B. Buonomo and O. Manca: Natural convection flow in a vertical micro-channel heated at uniform heat flux, Int. J. Therm. Sci, Vol. 49, 2012, 1333–1344.
O. Aydin and M. Avci: Thermally developing flow in micro-channels, J. Thermophys. Heat Transfer, Vol. 20, 2006, 628–632.
C. K. Chen and H. C. Weng: Natural convection in a vertical microchannel, J. Heat Transfer Trans, ASME, Vol. 127, 2005, 1053–1056.
O. M. Haddad, M. M. Abuzaid and M. A. Al-Nimr: Developing free-convection gas flow in a vertical open-ended micro-channel filled with porous media, Numer. Heat Transfer, Part A, Vol. 48, 2005, 693–710.
M. Venkateswarlu, O. D. Makinde and D. V. Lakshmi: Influence of thermal radiation and heat generation on steady hydromagnetic flow in a vertical micro-porous–channel in presence of suction/injection, Journal of Nanofluids, Vol. 8, No. 5, 1010–1019, 2019.
B. K. Jha and B. Aina: Mixed convection flow in a vertical micro–annulus having temperature-dependent viscosity: An exact solution, J. Nanofluids, Vol. 7, 2018, 1–8.
A. F. Khadrawi, A. Othman and M. A. Al – Nimr: Transient free convection fluid flow in a vertical micro-channel as described by the hyperbolic heat conduction model, Int. J. Thermophys, Vol. 26, 2005, 905–918.
H. Y. Wu and P. Cheng: An experimental study of convective heat transfer in silicon micro-channel with different surface conditions, International Journal of Heat and Mass Transfer, Vol. 46, 2003, 2547–2556.
B. K. Jha, B. Aina and S. B. Joseph: Natural convection flow in a vertical micro-channel with suction/injection, Journal of Process Mechanical Engineering, Vol. 228, 2014, 171–180.
K. R. Cramer and S. I. Pai: Magneto fluid dynamics for engineers and applied physicists, Mc Graw Hill Book Company, New York, 1973.
E. M. Sparrow and R. D. Cess: Temperature-dependent heat sources or sinks in a stagnation point flow, Appl. Sci. Res, Vol. 10, No. 1, 1961, 185–197.
T. Hayat, S. A. Shehzad and M. Qasim: Mixed convection flow of a micropolar fluid with radiation and chemical reaction, International Journal for Numerical Methods in Fluids, Vol. 67, No, 11, 2010, pp. 1418–1436.
M. Venkateswarlu and O. D. Makinde: Unsteady MHD slip flows with radiative heat and mass transfer over an inclined plate embedded in a porous medium, Defect and Diffusion Forum, 384, 2018, 31–48.
H. R. Kataria and H. R. Patel: Radiation and chemical reaction effects on MHD Casson fluid flow past an oscillating vertical plate embedded in a porous medium, Alexandria Engineering Journal, Vol. 55 No. 1, 2016, 583–595.
V. Malapati and V. L. Dasari: Soret and chemical reaction effects on the radiative MHD flow from an infinite vertical plate, J. Korean Soc. Ind. Appl. Math., Vol. 21, No.1, 2017, 39–61.
G. S. Seth, S. M. Hussain and S. Sarkar: Hydromagnetic natural convection flow with heat and mass transfer of a chemically reacting and heat-absorbing fluid past and accelerated moving vertical plate with ramped temperature and ramped surface concentration through a porous medium, Journal of the Egyptian Mathematical Society, Vol. 23 No. 1, 2014, 197–207.
S. D. Adhikary and J. C. Misra: Unsteady two-dimensional hydromagnetic flow and heat transfer and heat transfer of a fluid, Int. J. of Appl. Math. & Mech, Vol. 7, No. 4, 2011, 1–20.
B. P. Garg, K. D. Singh and A. K. Bansal: Oscillatory MHD convective flow of second-order fluid through a porous medium in a vertical rotating channel in slip-flow regime with heat radiation, Int. J. of Applied Mechanics and Engineering, Vol. 20, 2015, 33–52.
B. K. Jha and B. Aina: Mathematical modelling and exact solution of steady fully developed mixed convection flow in a vertical micro–porous–annulus, J. Afrika Matematika, Vol. 26, 2015, 1199–1213.
M. Venkateswarlu, R. Vasu Babu and S. K. Mohiddin Shaw: Dufour and heat source effects on radiative MHD slip flow of a viscous fluid in a parallel porous plate channel in presence of chemical reaction, J. Korean Soc. Ind. Appl. Math, Vol. 21, 2017, 245–275.
G. S. Seth, B. Kumbhakar and R. Sharma: Unsteady hydromagnetic natural convection flow of heat-absorbing fluid within a rotating vertical channel in a porous medium with Hall effect, J. Appl. Fluid Mech., Vol. 8, No. 4, 2015, 767–779.
M. Venkateswarlu, D. Venkata Lakshmi and G. Darmaiah: Influence of slip condition on radiative MHD flow of a viscous fluid in a parallel porous plate channel in presence of heat absorption and chemical reaction, J. Korean Soc. Ind. Appl. Math., Vol. 20, No. 4, 2016, 333–354.
G. S. Seth, R. Nandkeodyar and S. Md. Ansari: unsteady MHD convective flow within a parallel plate rotating channel with thermal source/sink in a porous medium under slip boundary conditions, Int. J. Eng. Sci. Technol, Vol. 2, No. 11, 2010, 1–16.
S. O. Adesanya and O. D. Makinde: MHD oscillatory slip flow and heat transfer in a channel filled with porous media, U.P.B. Sci. Bull., Series A, Vol. 76, No. 1, 2014, 197–204.
Copyright (c) 2021 Venkateswarlu Malapati, Bhaskar P
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.