×

EGA for a convective regime over a vertical cylinder stretching linearly. (English) Zbl 1514.76090

Summary: This article offers an analysis of entropy generated in mixed convection due to a vertical stretching cylinder placed in heat-generating fluid-saturated porous medium. The governing system of partial differential equations is subjected to a similarity transformation that results in boundary value problem (BVP) comprising ordinary differentials. The BVP solved numerically by Runge-Kutta integration scheme supplemented with shooting method provides momentum and thermal regimes which are readily exploited to enumerate entropy. The entropy distribution is traced and analysed for various parameters’ values.

MSC:

76S05 Flows in porous media; filtration; seepage
35Q35 PDEs in connection with fluid mechanics
76E06 Convection in hydrodynamic stability

References:

[1] B.C. Sakiadis, (1961), Boundary-layer behaviour on continuous solid surface: I Boundary layer equations for two dimensional and axisymmetric flow, AI Ch E J, 7, 26-28.
[2] L. J. Crane, (1970), Flow past a stretching plate, Z Angew Math und Phys, 21, 645-647.
[3] N. Afzal, I.S. Varshney, (1980), The cooling of a low heat resistance stretching sheet moving through a fluid. Warme stoffiibertragung, 14, 289-293.
[4] T. C. Chiam, (1982), Micropolar fluid flow over a stretching sheet. ZAMM, 62, 565-568.
[5] P. S. Gupta, A. S. Gupta, (1977), Heat and mass transfer on a stretching sheet with suction or blowing, The Canadian Journal of Chemical Engineering, 55, 744-746.
[6] W. M. H. Banks, (1983), Similarity solution of the boundary layer equations for stretching wall, J. Mec. Theor. appl, 2, 357-392. · Zbl 0538.76039
[7] L. J. Grubka, K.M. Bobba, (1985), Heat transfer characteristics of continuous stretching surface with variable temperature, Trans ASME, J. Heat Transfer, 107, 248-250.
[8] M. I. Chen, C.K. Chen, (1988), Temperature field in non-Newtonian flow over a stretching plate with variable heat flux, Int. J. Heat Mass Transfer, 31(5), 917-921. · Zbl 0665.76004
[9] D. S. Chauhan, P. Vyas, (1995), Heat Transfer in MHD viscous flow due to stretching of a boundary in the presence of naturally permeable bed, AMSE Periodicals, Modelling, Measurement & control B, 60, 17-36.
[10] T. C. Chiam, (1995), Hydromagnetic flow over a surface stretching with power law velocity, Int. J. Eng. Sci, 33, 429-435. · Zbl 0899.76375
[11] H. I. Anderson, Q.A. Valnes, (1998), Flow of a heated ferro fluid over a stretching sheet in the presence of a magnetic dipole. Acta Meccanica, 128, 39-47. · Zbl 0905.76097
[12] Y. Z. Boutros, M.B. Abd-el-Malcek, N.A. Badran, H.S. Hassan, (2006), Lie group method of solution for steady two dimension boundary layer stagnation point flow towards a heated stretching sheet placed in a porous medium. Meccanica, 41, 681-691. · Zbl 1163.76346
[13] M. A. Mjankwi, V. G. Masanja, E. W. Mureithi, M. Ng’oga James, (2019), Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical Reaction, International Journal of Mathematics and Mathematical Sciences, 2019, Article ID 7392459, 14 pages. · Zbl 1486.76113
[14] P. Vyas, A. Rai, (2010), Radiative flow with variable thermal conductivity over a non isothermal stretching sheet in a porous medium, Int. J. Contemp. Math. Sciences, 5, 2685-2698. · Zbl 1225.76086
[15] P. Vyas, A. Ranjan, (2010), Dissipative MHD Boundary layer flowing a porous medium over a sheet stretching nonlinearly in the presence of radiation, Applied mathematical sciences, 4(63), 3133-3142. · Zbl 1328.76079
[16] P. Vyas, N. Srivastava, (2010), Radiative MHD flow over a non-isothermal stretching sheet in a porous medium, Applied Mathematical Sciences, 4(49-52), 2475-2484. · Zbl 1220.76077
[17] P. Vyas, N. Srivastava, (2012), On Dissipative Radiative MHD Boundary Layer Flow in a Porous Medium Over a Non Isothermal Stretching Sheet, Journal of Applied Fluid Mechanics, 5 (4), 23-31.
[18] T. Grosan, I. Pop, (2011), Axisymmetric mixed convection boundary layer flow past a vertical cylinder in a nanofluid, Int. J. of Heat and Mass transfer, 54 (15,16), 3139-3145. · Zbl 1219.80044
[19] T. Hayat, M. B. Ashraf, S. A. Shehzad, A. Alsaedi, (2015), Mixed convection flow of a casson nanofluid over a stretching sheet with convective heated reaction and heat source/sink, J. Appl. Fluid Mech., 8(4), 803-815.
[20] A. Bejan, (1982), Entropy Generation through Heat and Fluid Flow, New York: Willy.
[21] A. Bejan, (1979), A study of entropy generation in fundamental convective heat transfer, ASME J. of Heat Transfer, 101, 718-725.
[22] A. S. Butt, A. Ali, (2014), Entropy analysis of magnetohydrodynamic flow and heat transfer due to stretching cylinder, J. of the Taiwan Institute of chemical engineers, 45 (3), 780-786.
[23] S. Das, S. Chakraborty, O. D. Makinde, R. N. Jana, (2018), Entropy analysis of MHD variable thermal conductivity fluid flow past a convectively stretching cylinder, Detect and Diffusion Forum, 387, 244-259.
[24] P. Vyas, S. Khan, (2016), Entropy generation analysis for MHD dissipative casson fluid flow in porous medium due to a stretching cylinder, Acta Technica, 61 (3), 299-315.
[25] P. Vyas, S. Soni, (2017), On entropy generation in radiative MHD boundary layer flow with partial slip due to a melting surface stretching in porous medium, J of Raj. Acad. of Phys. Sci. 16 (1, 2), 93-111. · Zbl 1378.76143
[26] P. Vyas, A. Ranjan, (2015), Entropy analysis of radiative MHD forced convection flow with weakly temperature dependent convection coefficient in porous medium channel, Acta Technica 60 (1), 1-14.
[27] P. Vyas, N. Srivastava, (2015), Entropy analysis of generalized MHD Couette flow inside a composite duct with asymmetric convective cooling, Arabian J. for Science and Engineering 40(2), 603-614. · Zbl 1391.76864
[28] S. Mukhopadhyay, A. Ishak, (2012), Mixed Convection Flow along a Stretching Cylinder in a Thermally Stratified Medium, Journal of Applied Mathematics, 2012, 1-8. · Zbl 1264.76042
[29] P. Kumam, Z. Shah, A. Dawar, H. Rasheed, S. Islam, (2019), Entropy Generation in MHD Radiative Flow of CNTs Casson Nanofluid in Rotating Channels with Heat Source/Sink, Mathematical Problems in Engineering, Hindawi, 2019, 1-14. · Zbl 1435.76093
[30] H. Singh, (2018), An efficient computational method for the approximate solution of nonlinear Lane-Emden type equations arising in astrophysics, Astrophysics and Space science, 363 (4).
[31] H. Singh, H. M. Srivastava, D. Kumar, (2017), A reliable algorithm for the approximate solution of the nonlinear Lane-Emden type equations arising in astrophysics. Numerical Methods for Partial Differential Equations, 33.
[32] H. Singh, D. Kumar, D. Baleanu, (2019), Methods of Mathematical Modelling: Fractional Differential Equations, published by CRC Press Taylor & Francis Group.
[33] H. Singh, D. Kumar, J. Singh, C. S. Singh, (2019), A reliable numerical algorithm for the fractional Klein-Gordon equation, Engineering Transactions, 67 (1), 21-34.
[34] H. Singh, C. S. Singh, (2018), Stable numerical solutions of fractional partial differential equations using Legendre scaling functions operational matrix, Ain Shams Engineering Journal, 9, 717-725.
[35] H. Singh, (2017), A new stable algorithm for fractional Navier-Stokes equation in polar coordinate, International Journal of Applied and Computational Mathematics. 3 (4), 3705-3722. · Zbl 1397.76031
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.