EGA for a Convective Regime Over a Vertical Cylinder Stretching Linearly

[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. SakiadisB.C. 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 10.1002/aic.690070108 Search in Google Scholar

[2] L. J. Crane, (1970), Flow past a stretching plate, Z Angew Math und Phys, 21, 645–647. CraneL. J. 1970 Flow past a stretching plate Z Angew Math und Phys 21 645 647 10.1007/BF01587695 Search in Google Scholar

[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. AfzalN. VarshneyI.S. 1980 The cooling of a low heat resistance stretching sheet moving through a fluid Warme stoffiibertragung 14 289 293 10.1007/BF01002366 Search in Google Scholar

[4] T. C. Chiam, (1982), Micropolar fluid flow over a stretching sheet. ZAMM, 62, 565–568. ChiamT. C. 1982 Micropolar fluid flow over a stretching sheet ZAMM 62 565 568 10.1002/zamm.19820621010 Search in Google Scholar

[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. GuptaP. S. GuptaA. S. 1977 Heat and mass transfer on a stretching sheet with suction or blowing The Canadian Journal of Chemical Engineering 55 744 746 10.1002/cjce.5450550619 Search in Google Scholar

[6] W. M. H. Banks, (1983), Similarity solution of the boundary layer equations for stretching wall, J. Mec. Theor. appl, 2, 357–392. BanksW. M. H. 1983 Similarity solution of the boundary layer equations for stretching wall J. Mec. Theor. appl 2 357 392 Search in Google Scholar

[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. GrubkaL. J. BobbaK.M. 1985 Heat transfer characteristics of continuous stretching surface with variable temperature Trans ASME, J. Heat Transfer 107 248 250 10.1115/1.3247387 Search in Google Scholar

[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. ChenM. I. ChenC.K. 1988 Temperature field in non-Newtonian flow over a stretching plate with variable heat flux Int. J. Heat Mass Transfer 31 5 917 921 10.1016/0017-9310(88)90080-4 Search in Google Scholar

[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. ChauhanD. S. VyasP. 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 Search in Google Scholar

[10] T. C. Chiam, (1995), Hydromagnetic flow over a surface stretching with power law velocity, Int. J. Eng. Sci, 33, 429–435. ChiamT. C. 1995 Hydromagnetic flow over a surface stretching with power law velocity Int. J. Eng. Sci 33 429 435 10.1016/0020-7225(94)00066-S Search in Google Scholar

[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. AndersonH. I. ValnesQ.A. 1998 Flow of a heated ferro fluid over a stretching sheet in the presence of a magnetic dipole Acta Meccanica 128 39 47 10.1007/BF01463158 Search in Google Scholar

[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. BoutrosY. Z. Abd-el-MalcekM.B. BadranN.A. HassanH.S. 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 10.1007/s11012-006-9014-x Search in Google Scholar

[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. MjankwiM. A. MasanjaV. G. MureithiE. W. Ng’oga JamesM. 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. 10.1155/2019/7392459 Search in Google Scholar

[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. VyasP. RaiA. 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 Search in Google Scholar

[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. VyasP. RanjanA. 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 Search in Google Scholar

[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. VyasP. SrivastavaN. 2010 Radiative MHD flow over a non-isothermal stretching sheet in a porous medium Applied Mathematical Sciences 4 49–52 2475 2484 Search in Google Scholar

[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. VyasP. SrivastavaN. 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 10.36884/jafm.5.04.19457 Search in Google Scholar

[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. GrosanT. PopI. 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 10.1016/j.ijheatmasstransfer.2011.04.018 Search in Google Scholar

[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. HayatT. AshrafM. B. ShehzadS. A. AlsaediA. 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 10.18869/acadpub.jafm.67.223.22995 Search in Google Scholar

[20] A. Bejan, (1982), Entropy Generation through Heat and Fluid Flow, New York: Willy. BejanA. 1982 Entropy Generation through Heat and Fluid Flow New York Willy Search in Google Scholar

[21] A. Bejan, (1979), A study of entropy generation in fundamental convective heat transfer, ASME J. of Heat Transfer, 101, 718–725. BejanA. 1979 A study of entropy generation in fundamental convective heat transfer ASME J. of Heat Transfer 101 718 725 10.1115/1.3451063 Search in Google Scholar

[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. ButtA. S. AliA. 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 10.1016/j.jtice.2013.08.018 Search in Google Scholar

[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. DasS. ChakrabortyS. MakindeO. D. JanaR. N. 2018 Entropy analysis of MHD variable thermal conductivity fluid flow past a convectively stretching cylinder Detect and Diffusion Forum 387 244 259 10.4028/www.scientific.net/DDF.387.244 Search in Google Scholar

[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. VyasP. KhanS. 2016 Entropy generation analysis for MHD dissipative casson fluid flow in porous medium due to a stretching cylinder Acta Technica 61 3 299 315 Search in Google Scholar

[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. VyasP. SoniS. 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 Search in Google Scholar

[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. VyasP. RanjanA. 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 Search in Google Scholar

[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. VyasP. SrivastavaN. 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 10.1007/s13369-014-1562-0 Search in Google Scholar

[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. MukhopadhyayS. IshakA. 2012 Mixed Convection Flow along a Stretching Cylinder in a Thermally Stratified Medium Journal of Applied Mathematics 2012 1 8 10.1155/2012/491695 Search in Google Scholar

[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. KumamP. ShahZ. DawarA. RasheedH. IslamS. 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 10.1155/2019/9158093 Search in Google Scholar

[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). SinghH. 2018 An efficient computational method for the approximate solution of nonlinear Lane-Emden type equations arising in astrophysics Astrophysics and Space science 363 4 10.1007/s10509-018-3286-1 Search in Google Scholar

[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. SinghH. SrivastavaH. M. KumarD. 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 10.1002/num.22237 Search in Google Scholar

[32] H. Singh, D. Kumar, D. Baleanu, (2019), Methods of Mathematical Modelling: Fractional Differential Equations, published by CRC Press Taylor & Francis Group. SinghH. KumarD. BaleanuD. 2019 Methods of Mathematical Modelling: Fractional Differential Equations published by CRC Press Taylor & Francis Group 10.1201/9780429274114 Search in Google Scholar

[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. SinghH. KumarD. SinghJ. SinghC. S. 2019 A reliable numerical algorithm for the fractional Klein-Gordon equation Engineering Transactions 67 1 21 34 Search in Google Scholar

[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. SinghH. SinghC. S. 2018 Stable numerical solutions of fractional partial differential equations using Legendre scaling functions operational matrix Ain Shams Engineering Journal 9 717 725 10.1016/j.asej.2016.03.013 Search in Google Scholar

[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. SinghH. 2017 A new stable algorithm for fractional Navier-Stokes equation in polar coordinate International Journal of Applied and Computational Mathematics 3 4 3705 3722 10.1007/s40819-017-0323-7 Search in Google Scholar