A Treatise on the Screw Extrusion of Thermoplastics : Part I, Theory of the Screw Extrusion of Non-Newtonian Liquid

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Theories of the screw extrusion of highly viscous liquid have hitherto been limited to the extrusion of the Newtonian liquid or the Bingham plastic liquid. The present paper advances the theory of extrusion of the Non-Newtonian liquid, of which the viscosity may be represented by the power law D=ατ^n where D is the shear rate and τ is the shearing stress. The relation of the rate of pressure flow Q_p and the pressure gradient ξ along the screw channel can be obtained by the following two equations. Q_p=K_1BhV/2,hξ=K_2(V/(αh))^n where B=channel width h=channel depth V=relative velocity between barrel and screw K_1=1/(a^<n+1>-b^<n+1>)[n/(n+2)(a^<n+2>±b^<n+2>)±a^<n+1>b+ab^<n+1>] K_2=(n+1/a^<n+1>-b^<n+1>)^<1/n> a=h_1/h, b=(h-h_1)/h and h_1 is the distance between stress-neutral surface and the barrel. With the aid of K_1〜a curve and K_2〜a curve, which were previously obtained through numerical calculations, one can obtain a Q_p〜ξ curve graphically by means of parameter a.
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