Unsteady Rotating Flows of Oldroyd-B Fluids with Fractional Derivatives
作者: Muhammad JamilNajeeb Alam KhanMuhammad Imran Asjad
刊名: International Journal of Chemical Reactor Engineering, 2011, Vol.9 (1)
来源数据库: Berkeley Electronic Journal
关键词: Oldroyd-B fluidfractional calculuscoaxial cylindersvelocity fieldtime dependent shear stressLaplace and Hankel transforms
原始语种摘要: Exact solutions corresponding to the unsteady flows of an Oldroyd-B fluid with fractional derivatives, between two infinite coaxial circular cylinders are obtained by means of Laplace and finite Hankel transforms. The motion of the fluid is produced by the inner cylinder that, at time t=0+, is applied a time dependent rotational shear stress to the fluid. The expressions of the velocity field and the shear stress are presented in series form in term of generalized G_{a,b,c}(,t) and R_{a,b}(,t) functions. The solutions that have been obtained satisfy all imposed initial and boundary conditions. The corresponding solutions for ordinary Oldroyd-B, fractional Maxwell, ordinary Maxwell, fractional second grade, ordinary second grade and Newtonian fluids performing the same motion are ...
全文获取路径: BE Press