Abstract
Helical flows of fractional viscoelastic fluid in a circular pipe
Highlights
The exploration of this study is devoted to investigate the helical effects for the flow of fractionalized viscoelastic fluid in helically moved cylinder
The solutions are presented in terms of series form and expressed in terms of generalized Fox H-function Hj1,k,j+1(Z)
Three types of fluid models are presented for rheological comparison, namely (i) fractional and ordinary Maxwell fluid, (ii) fractional and ordinary second grade fluid and (iii) fractional and ordinary Newtonian fluid
Summary
Involvement of viscoelastic material, for instance, glues, paints, melts of polymers, asphalts, biological solutions, colloids and several others. Masood et al (2016) investigated a stagnation-point flow with the nonlinear radiative on Sisko fluid over stretching cylinder They established numerical solutions via shooting method through forth order Runge-Kutta method by transforming governing partial differential equation of stretching cylinder. They explored nonlinear Rosseland approximation and effects of thermal radiation. Jamil et al (2011) analyzed longitudinal and torsional constantly an infinite accelerated cylinder with for second order liquid They found exact analytical solutions for shear stress and velocity profile. Mahmood et al (2010) worked on the annular region of cylinders for generalized second order liquid with oscillatory flow They utilized integral transform to investigate some exact analytical solutions with few limiting. The rheology is influenced with distinct parameters and material limitations among two helically moved cylinders by depicting graphical analysis
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