Nonclassical thermal effects in Stokes' second problem

Thermal effects in Stokes’ Second Problem for Unsteady Second Grade Fluid Flow through Porous Medium

“…Penton [14] has presented a closed-form to the transient component of the solution for the flow of a viscous fluid due to an oscillating plate. Puri and Kythe [15] have discussed an unsteady flow problem which deals with non-classical heat conduction effects and the structure of waves in Stokes' second problem. Erdogan [8] analyzed the unsteady flow of viscous fluid due to an oscillating plane wall by using Laplace transform technique.…”

“…Vajravelu and Rivera [21] discussed the hydromagnetic flow at an oscillating plate. Much work has been published on the flow of fluid over an oscillating plate for different constitutive models (Erdogan, [7]; ZengandWeinbaum, [22]; Puri and Kythe, [15]; Asghar et al, [2]; Ibrahem et al, [12].…”

Discontinuities in velocity gradients and temperature in the Stokes’ first problem with nonclassical heat conduction

“…Eliminating qiti between (6) and (7) we find that -pcpT0 = pcpd -K04i, which in one-dimensional form, after dropping the convective terms (because these terms become automatically zero), leads to T^tt + @t --@xx- (8) pcp…”

“…This is due to the "major role played by the time constant of the MaxwellCattaneo theory". Puri and Kythe [8] have studied a simple unsteady flow problem which deals with the nonclassical heat conduction effects and structure of waves in the Stokes' second problem. A detailed history of the development of nonclassical generalizations of Fourier's law is given in Joseph and Preziosi [9].…”

Thermal Effects in Stokes’ Second Problem for Unsteady Second Grade Fluid Flow through a Porous Medium under the Effect Of A Magnetic Field

“…Penton [17] have presented a closed-form to the transient component of the solution for the flow of a viscous fluid due to an oscillating plate. Puri and Kythe [18] have discussed an unsteady flow problem which deals with non-classical heat conduction effects and the structure of waves in Stokes' second problem. Much work has been published on the flow of fluid over an oscillating plate for different constitutive models (Erdogan [9]; Zeng and Weinbaum [28]; Puri and Kythe [19]; Asghar et al [3]; Ai and Vafai [1]; Ibrahem et al [15]).…”