Exact solutions for permeable wall laminar jet with velocity slip: Momentum and thermal profiles

N. Tetervin, Laminar Flow of a Slightly Viscous Incompressible Fluid That Issues from a Slit and Passes Over a Flat Plate, NACA TN, No. 1644, Washington, 1948, p. 40. Glauert, 1965, The wall jet, J. Fluid Mech., 1, 625, 10.1017/S002211205600041X Akatnov, 1953, Development of 2D laminar jet along a solid surface, Leningr. Politekh. Inst. Trudy, 5, 24 Merkin, 1986, A note on the wall-jet problem, J. Engrg. Math., 20, 21, 10.1007/BF00039320 Needham, 1987, A note on the wall-jet problem II, J. Engrg. Math., 21, 17, 10.1007/BF00127689 Magyari, 2001, The free jets as boundary-layer flows induced by continuous stretching surfaces, Heat Mass Transf., 38, 111, 10.1007/s002310000170 Barker, 2002, Axisymmetric wake and jet solutions in decelerating streams, J. Appl. Math. Phys. (ZAMP), 53, 35, 10.1007/s00033-002-8140-0 Kalteh, 2006, Similarity solution of laminar axisymmetric jets with effect of viscous dissipation, ASME J. Heat Transfer, 128, 1099, 10.1115/1.2345435 Turkyilmazoglu, 2014, A note on the exact temperatures of free two dimensional and circular jets, Euro. Phys. J. Plus, 129, 120, 10.1140/epjp/i2014-14120-5 Jafarimoghaddam, 2017, Closed form analytic solutions to heat and mass transfer characteristics of wall jet flow of nanofluids, Thermal Sci. Eng. Prog., 4, 175, 10.1016/j.tsep.2017.09.006 Aly, 2020, Merkin and Needham wall jet problem for hybrid nanofluids with thermal energy, Euro. J. Mech. B, 83, 195, 10.1016/j.euromechflu.2020.05.004 Aly, 2022, Wall jet flow and heat transfer of a hybrid nanofluid subject to suction/injection with thermal radiation, Thermal Sci. Eng. Prog., 32, 10.1016/j.tsep.2022.101294 Aly, 2022, Exact solutions for wall jet flow of hybrid nanofluid, J. Nanofluids, 11, 373, 10.1166/jon.2022.1845 Usafzai, 2023, Wall laminar nanofluid jet flow and heat transfer, Internat. J. Numer. Methods Heat Fluid Flow, 33, 1818, 10.1108/HFF-09-2022-0528 Usafzai, 2023, Wall jet nanofluid flow with thermal energy and radiation in the presence of power-law, Numerical Heat Transfer Part A, 10.1080/10407782.2023.2222456 Mahros, 2023, Flow and heat transfer for MHD wall jet of hybrid nanofluids: theoretical and numerical solutions, Internat. J. Numer. Methods Heat Fluid Flow, 33, 2649, 10.1108/HFF-09-2022-0555 Casson, 1959, A flow equation for pigment-oil suspensions of the printing ink type, 84 Pramanik, 2014, Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation, Ain Shams Eng. J., 5, 205, 10.1016/j.asej.2013.05.003 Ul Haq, 2014, Convective heat transfer and MHD effects on casson nanofluid flow over a shrinking sheet, Cent. Eur. J. Phys., 12, 862 Kameswaran, 2014, Dual solutions of casson fluid flow over a stretching or shrinking sheet, Sadhana, 39, 1573, 10.1007/s12046-014-0289-7 Javed, 2018, Axisymmetric flow of casson fluid by a swirling cylinder, Results Phys., 9, 1250, 10.1016/j.rinp.2018.04.015 Das, 2021, Solute dispersion in transient casson fluid flow through stenotic tube with exchange between phases, Phys. Fluids, 33, 10.1063/5.0052770 Govindaraj, 2022, A computational study on the MHD casson fluid flow with thermal radiation and variable physical properties under the influence of soret and dufour effects, Heat Transfer, 51, 5857, 10.1002/htj.22572 Maurya, 2023, Hydromagnetic flow of casson fluid over a stretching plane through porous medium, Authorea Aly, 2019, Catalogue of existence of the multiple physical solutions of hydromagnetic flow over a stretching/shrinking sheet for viscoelastic second-grade and Walter’s B fluids, Phy. Scr., 94, 10.1088/1402-4896/ab19da Usafzai, 2023, Multiple exact solutions for micropolar slip flow and heat transfer of a bidirectional moving plate, Thermal Sci. Eng. Prog., 37, 10.1016/j.tsep.2022.101584 Akhtar, 2022, Impact of heat and mass transfer on the peristaltic flow of non-Newtonian Casson fluid inside an elliptic conduit: Exact solutions through novel technique, Chinese J. Phys., 78, 194, 10.1016/j.cjph.2022.06.013 Asif, 2018, Exact solution of non-Newtonian fluid motion between side walls, Results Phys., 11, 534, 10.1016/j.rinp.2018.09.023 Firouzi, 2009, Exact solution of two phase stratified flow through the pipes for non-Newtonian Herschel–Bulkley fluids int, Commun. Heat Mass Transfer, 36, 768, 10.1016/j.icheatmasstransfer.2009.03.018 Guedda, 2011, Non-Newtonian pseudoplastic fluids: Analytical results and exact solutions, Int. J. Non-Linear Mech., 46, 949, 10.1016/j.ijnonlinmec.2011.04.009 Tong, 2005, Exact solutions for the unsteady rotational flow of non-Newtonian fluid in an annular pipe, Int. J. Eng. Sci., 43, 281, 10.1016/j.ijengsci.2004.09.007 Siddique, 2011, Exact solutions for the unsteady axial flow of non-Newtonian fluids through a circular cylinder, Commun. Nonlinear Sci. Numer. Simul., 16, 226, 10.1016/j.cnsns.2010.03.010 Turkyilmazoglu, 2012, A class of exact solutions for the incompressible viscous magnetohydrodynamic flow over a porous rotating disk, Acta Mech. Sin., 28, 335, 10.1007/s10409-012-0042-6 Turkyilmazoglu, 2013, Heat and mass transfer of MHD second order slip flow, Comput. & Fluids, 71, 426, 10.1016/j.compfluid.2012.11.011 Joseph, 2022, New classes of periodic and non-periodic exact solutions for Newtonian and non-Newtonian fluid flows, Internat. J. Engrg. Sci., 180, 10.1016/j.ijengsci.2022.103740 Aly, 2016, Existence of the multiple exact solutions for nanofluid flow over a stretching/shrinking sheet embedded in a porous medium at the presence of magnetic field with electrical conductivity and thermal radiation effects, Powder Technol., 301, 760, 10.1016/j.powtec.2016.06.024 Usafzai, 2022, Exact multiple solutions of 2-D bidirectional moving plate micropolar hybrid nanofluid flow with heat transfer, Chinese J. Phys., 80, 414, 10.1016/j.cjph.2022.10.009 Usafzai, 2022, Multiple solutions for nanofluids flow and heat transfer in porous medium with velocity slip and temperature jump, Int. Commun. Heat Mass Transfer, 131, 10.1016/j.icheatmasstransfer.2021.105831 Usafzai, 2023, Hiemenz flow with heat transfer in a slip condition micropolar fluid model: Exact solutions, Int. Commun. Heat Mass Transfer, 144, 10.1016/j.icheatmasstransfer.2023.106775 Andersson, 2002, Slip flow past a stretching surface, Acta Mech., 158, 121, 10.1007/BF01463174 Turkyilmazoglu, 2019, Laminar slip wall jet of Glauert type and heat transfer, Int. J. Heat Mass Transfer, 134, 1153, 10.1016/j.ijheatmasstransfer.2019.02.051