Viscous Dissipation Effect on Steady Natural Convection Couette Flow of Heat Generating Fluid in a Vertical Channel

Combined Effect of Thermal Radiation and Viscous Dissipation on Unsteady Free Convective Magneto-Hydrodynamic Flow Through an Irregular Channel

“…While, and experience a retardation with increase in and . Table 2 displayed the comparison of this present study with the work of Jha and Ajibade (2010) and Ajibade and Kabir (2019). By setting = E = = = = 0, the present work is in agreement with the work of Jha and Ajibade (2010) and Ajibade and Kabir (2019) is shown in Table 2.…”

Effects of viscous and darcy dissipation on fully developed natural convection flow in a composite channel partially filled with porous material: Homotopy perturbation method (HPM)

“…They concluded that both the velocity and temperature increase in the upward direction with an increase in viscous dissipation. In the work of Ajibade et al [6], the effect of viscous dissipation on steady natural convection Couette flow of a heat-generating fluid in a vertical channel was investigated. They concluded that the effect of viscous dissipation is very important in the study of natural convection problems and should not be overlooked in future studies.…”

“…𝑘 11 = 𝑘 1 𝑘 10 + 𝑘 9 , 𝑘 12 = −𝑘 1 𝑘 10 − 𝑘 6 − 𝑘 9 𝑘 13 = 𝑘 4 + 𝑑6 𝑘 5 − 30𝑑4 𝛾𝑘 11 − 360𝑑 3 𝑑𝑎𝛾 2 𝑘 17 − 720𝑑𝑎 2 𝑑 3 𝛾𝑘 21 − 120𝑑 3 𝛾𝑘 12 − 720𝑑𝛾 2 𝑑𝑎𝑘 18 ) , 𝑘 23 = 𝑘 1 𝑘 22 + 𝑘 21 , 𝑘 24 = −𝑘 1 𝑘 22 − 𝑘 19 − 𝑘 21 , 𝛾𝑘 12 𝑘 5 + 12𝑑 3 𝛾 2 𝑘 11 𝑘 12 + 18𝑑 2 𝛾 2 𝑘 2 ( −126𝐵𝑟𝑑 5 𝑑𝑎𝛾 2 𝑘 2 3 + 10𝐵𝑟𝑑 7 𝑘 2 4 + 126𝐵𝑟𝑑 5 𝛾𝑘 2 4 + 70𝐵𝑟𝑑 6 𝑘 4 𝑘 5 − 168𝐵𝑟𝑑 5 𝛾𝑘 11 𝑘 4 +315𝐵𝑟𝑑 4 𝑑𝑎𝛾 2 𝑘 3 + 630𝐵𝑟𝑑 4 𝑑𝑎𝛾𝑘 4 𝑘 5 + 840𝐵𝑟𝑑 3 𝑑𝑎𝛾 2 𝑘 10 𝑘 3 − 840𝐵𝑟𝑑 3 𝑑𝑎𝛾 2 𝑘 11 𝑘 4 + 126𝐵𝑟𝑑 5 𝑘 2 5 −630𝐵𝑟𝑑 4 𝛾𝑘 11 𝑘 5 − 210𝐵𝑟𝑑 4 𝛾𝑘 12 𝑘 4 + 840𝐵𝑟𝑑 3 𝑑𝑎𝛾𝑘 2 5 + 840𝐵𝑟𝑑 3 𝛾 2 𝑘 2 11 − 2520𝐵𝑟𝑑 2 𝑑𝑎𝛾 2 𝑘 11 𝑘 5 + 2520𝐵𝑟𝑑𝑑𝑎𝛾 3 𝑘 2 11 −210𝐵𝑟𝑑 3 𝑑𝑎𝛾 2 − 840𝐵𝑟𝑑 3 𝛾𝑘 12 𝑘 5 − 1260𝐵𝑟𝑑 2 𝑑𝑎𝛾 2 𝑘 10 + 2520𝐵𝑟𝑑 2 𝛾 2 𝑘 11 𝑘 12 − 2520𝐵𝑟𝑑𝑑𝑎𝛾 2 𝑘 2 𝑘 30 = 𝑘 1 𝑘 29 + 𝑘 28 , 𝑘 31 = −𝑘 1 𝑘 29 − 𝑘 25 − 𝑘 28 , 𝑘 32 = 𝑘 35 = 12𝛾 2 𝑘 11 𝑘 12 − 12𝑑𝑎𝛾 2 𝑘 11 𝑘 5 , 𝑘 36 = 18𝑑𝑎𝛾 3 𝑘 2 11 + 18𝛾 2 𝑘 2 𝑑 2 , 𝑚 4 = 𝐷𝑎 (𝐶 3 𝑑 + 𝐶 4 ) ,𝑚 5 = − 𝑒 𝑚 1 𝑑 𝑚 2 + 𝑚 3 𝑒 𝑚 1 − 𝑚 4 𝑒 𝑚 1 𝑒 𝑚 1 𝑑 𝑒 −𝑚 1 − 𝑒 −𝑚 1 𝑑 𝑒 𝑚 1 , 𝑚 6 = 𝑒 𝑚 1 𝑑 𝑒 −𝑚 1 − 𝑒 −𝑚 1 𝑑 𝑒 𝑚 1 , 𝑚 7 = 𝐶 1 𝑒 𝑚 1 𝑑 3 𝑚 0 + 2𝐶 2 𝑒 𝑚 1 𝑑 2 𝑚 0 −6𝑒 𝑚 1 𝑑 𝑒 −𝑚 1 𝛾𝑚 1 𝑚 5 − 6𝑒 𝑚 1 𝑒 −𝑚 1 𝑑 𝛾𝑚 1 𝑚 5 , 𝑚 8 = 3𝐶 1 𝑒 𝑚 1 𝑑 2 + 6𝐶 3 𝑒 𝑚 1 𝐷𝑎𝛾 − 6𝑒 𝑚 1 𝑑 𝛾𝑚 1 𝑚 2 + 6𝐶 2 𝑒 𝑚 1 𝑑, 𝑚 10 = 𝑒 𝑚 1 ( 𝑑𝛾𝑚 1 𝑒 −𝑚 1 𝑑 𝑒 𝑚 1 + 𝑑𝛾𝑚 1 𝑒 𝑚1 𝑑 𝑒 −𝑚 1 − 𝑑𝑚 0 𝑚 6 − 𝑚 6 𝑦 2 + 𝐶 5 𝑦 + 𝐶 6 , 𝑢 𝑝 = 𝑒 𝑚 1 𝑦 𝐶 8 + 𝑒 −𝑚 1 𝑦 𝐶 7 + 𝐷𝑎 (𝐶 3 𝑦 + 𝐶 4 )…”

Magnetohydrodynamics free convection couette flow and heat transfer through a vertical porous plate with heat generation and absorption effect

“…They reported that, due to the increasing values of porosity parameter the fluid velocity grows, but in the case of magnetic parameter, a reverse trend is observed. Ajibade and Tafida (2018) studied transient natural convection flow of heat generating fluid between two vertical parallel plates in the presence of suction/injection with isothermal and adiabatic condition. They concluded that, the velocity and temperature increase with growing injection on the isothermal wall while the opposite trend is found on the adiabatic wall.…”