Abstract

Effects of inertia, surface tension and gravity in the constant force stretching of isothermal cylindrical filaments of Newtonian, power-law and Maxwell-type fluids were analysed in Lagrangian coordinates. Solution for the purely gravitational extension of Newtonian fluid cylinder was found to be as simple asξ = 1 − C3(1 − ξ)τ whereξ designates the cross sectional area,ζ the Lagrangian distance andτ the time. Analytical solutions were also available for the case of inertialess Newtonian and power-law fluids.

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