Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate

Flow of a generalized Maxwell fluid induced by a constantly accelerating plate between two side walls

“…In the absence of body forces and a pressure gradient in the flow direction, the governing equation for this flow is [13] (1 + λD β t )…”

“…In the last time, many exact solutions have been obtained for flows of these fluids [9][10][11][12][13]. Such solutions are important not only because they are solutions of some flows having technical relevance, but also because they may serve as accuracy checks for experimental, numerical and asymptotic methods.…”

Existence of Solutions for a Fractional Derivative System of Equations

“…Fractional derivative equations have been found to accurately predict various physical phenomenon, and among others, the behavior of materials with memory (see [1,[7][8][9][10]14,[20][21][22][23][24]27,29,[32][33][34][35]37]). For instance, as shown by Mainardi in [26], the fractional wave equation governs the propagation of diffusive waves in certain viscoelastic media.…”

Soret and Dufour Effects on MHD Flow of a Maxwell Fluid Over a Stretching Sheet With Joule Heating

“…There is a simplest subclass of the rate type fluids known as the Maxwell model. This model excludes the complicating effects of shear-dependent viscosity from any boundary layer analysis and enables, one to focus solely on the effects of fluids elasticity on the characteristics of its boundary layer (Sadeghy et al 2005;Vieru et al 2008;Heyhat and Khabazi 2010). Examples of such fluids include glycerin, cruidoils or some polymeric solutions etc.…”