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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 26, 1994 - Issue 1
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Original Articles

NOIMISOTHERMAL MODEL OF SINGLE SCREW EXTRUSION OF GENERALIZED NEWTONIAN FLUIDS

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Pages 103-121 | Received 06 Jan 1993, Accepted 02 Jul 1993, Published online: 27 Apr 2007

References

  • M. McKelvey , Polymer Processing , chap. 10 , John Wiley , New York , 1962 .
  • T. R. Fenner , Melt Flow in Polymer Extrusion Equipment , Ph.D. thesis , University of London , 1969 .
  • H. J. Zamodits and J. R. A. Pearson , Flow of Polymer Melts in Extruders, Part 1 The Effect of Transverse Flow and of a Superposed Steady Temperature Profile , Trans. Soc. RheoL , vol. 13 , pp. 357 – 385 , 1969 .
  • Z. Tadmor and I. Klein , Engineering Principles of Plasticating Extrusion , chap. 6 , Robert Krieger , New York , 1978 .
  • C. D. Denson and B. K. Hwang , The Influence of the Axial Pressure Gradient on Flow Rate for Newtonian Liquids in a Self Wiping, Co—Rotating Twin Screw Extruder , Polymer. Eng. Sci. , vol. 20 , pp. 965 – 971 , 1980 .
  • S. Nakazawa , J. F. T. Pittman , and O. C. Zienkiewicz , Numerical Solution of Flow and Heat Transfer in Polymer Melts , in R. H. Gallagher, D. H. Norrie, J. T. Oden, and O. C. Zienkiewicz (eds.) , Finite Elements in Fluids , vol. 4 , pp. 251 – 283 , John Wiley , New York , 1982 .
  • R. E. Colwell and K. R. Nicholls , The Screw Extruder , Ind. Eng. Chem. , vol. 51 , pp. 841 – 843 , 1959 .
  • R. M. Griffith , Fully Developed Flow in Single Screw Extruders , Ind. Eng. Chem. Fundam. , vol. 1 , pp. 180 – 187 , 1962 .
  • T. H. Kwon , Y. Jaluria , M. V. Karwe , and T. Sastrohartono , Numerical Simulation of the Transport Processes in a Twin—Screw Polymer Extruder , in A. I. Isayev (ed.) , Modeling of Polymer Processing (Recent Developments) , pp. 77 – 115 , Hanser Publishers , Munich , 1991 .
  • J. C. Heinrich and O. C. Zienkiewicz , The Finite Element Method and "Upwinding" Techniques in Numerical Solutions of Convection Dominated Flow Problems , in T. J. R. Hughes (ed.) , Finite Element Methods for Convection Dominated Flows , AMD vol. 34 , pp. 105 – 136 , ASME , New York , 1979 .
  • J. J. Westerink and D. Shea , Consistent Higher Degree Petrov—Galerkin Methods for the Solution of the Transient Convection—Diffusion Equation , Int. J. Numer. Methods Eng. , vol. 28 , pp. 1077 – 1101 , 1989 .
  • T. J. R. Hughes and A. N. Brooks , A Multi—Dimensional Upwind Scheme with No Crosswind Diffusion , In T. J. R. Hughes (ed.) , Finite Element Methods for Convection Dominated Flows , AMD vol. 34 , pp. 19 – 36 , ASME , New York , 1979 .
  • A. N. Brooks and T. J. R. Hughes , Streamline Upwind/Petrov—Galerkin Formulations for Convection Dominated Flow with Particular Emphasis on the Incompressible Navier—Stokes Equations, Comput. Methods Appl. Mech. Eng. , vol. 32 , pp. 199 – 259 , 1982 .
  • C. C. Yu and J. C. Heinrich , Petrov—Galerkin Method for Multidimensional, Time—Dependent, Convective—Diffusion Equations , Int. J. Numer. Methods Eng. , vol. 24 , pp. 2201 – 2215 , 1987 .
  • S. V. Patankar and D. B. Spalding , A Calculation Procedure for Heat, Mass and Momentum Transfer in Three—Dimensional Parabolic Flows , Int. J. Heat Mass Transfer , vol. 15 , pp. 1787 – 1806 , 1972 .
  • M. Mooney , Explicit Formulas for Slip and Fluidity , J. RheoL , vol. 2 , pp. 210 – 222 , 1931 .
  • D. M. Kalyon , P. Yaras , B. Aral , and U. Yilmazer , Rheological Behavior of a Concentrated Suspension A Solid Rocket Fuel Simulant , J. RheoL , vol. 37 , pp. 35 – 53 , 1993 .
  • Y. Cohen and A. B. Metzner , Apparent Slip Flow of Polymer Solutions , J. RheoL , vol. 25 , pp. 67 – 102 , 1985 .
  • A. V. Ramamurthy , Wall Slip in Viscous Fluids and Influence of Materials of Construction , J. RheoL , vol. 30 , pp. 337 – 357 , 1986 .
  • U. Yilmazer D. M. Kalyon , Slip Effects in Capillary and Parallel Disk Torsional Flows of Highly Filled Suspensions , J. RheoL , vol. 33 , pp. 1197 – 1212 , 1989 .
  • S. G. Hatzikiriakos and J. M. Dealy , Wall Slip of Molten High Density Polyethylene, I Sliding Plate Rheometer Studies , J. RheoL , vol. 35 , pp. 497 – 523 , 1991 .
  • W. R. Schowalter , The Behavior of Complex Materials at Solid Boundaries , J. Non—Newtonian Fluid Mech. , vol. 29 , pp. 25 – 36 , 1988 .
  • W. T. Siiliman and L. E. Scriven , Separating Flow near a Static Contact Line Slip at a Wall and Shape of a Free Surface , J. Comput. Phys. , vol. 34 , pp. 287 – 313 , 1980 .
  • M. S. Engelman , R. L. Sani , and P. M. Gresho , The Implementation of Normal and/or Tangential Boundary Conditions in Finite Element Codes for Incompressible Fluid Flow , Int. J. Numer. Methods Fluids , vol. 2 , pp. 225 – 238 , 1982 .
  • Z. Ji , A. D. Gotsis , and D. M. Kalyon , Single Screw Extrusion Processing of Highly Filled Suspensions Including Wall Slip , SPE ANTEC Tech. Pap., vol. 36 , pp. 160 – 163 , 1990 .
  • T. C. Papanastasiou , Flows of Materials with Yield , J. Rheol. , vol. 31 , pp. 385 – 404 , 1987 .
  • T. J. R. Hughes , M. Mallet , and A. Mizukami , A New Finite Element Formulation for Computational Fluid Dynamics, II Beyond SUPG , Comput. Methods Appl. Mech. Eng. , vol. 54 , pp. 341 – 355 , 1986 .
  • F. B. Hildebrand , Advanced Calculus for Applications , 2nd ed. , p. 105 , Prentice-Hall , Englewood Cliffs , N. J. , 1976 .
  • O. R. Burggraf , Analytical and Numerical Studies of the Structure of Steady Separated Flows , J. Fluid Mech. , vol. 24 , pp. 113 – 151 , 1966 .
  • S. Gopalakrishna , M. Karwe , and Y. Jaluria , Numerical Simulation of Heat and Moisture Transfer in a Single Screw Extruder for Non—Newtonian Food Materials , E. G. Thompson, R. D. Wood, O. C. Zienkiewicz, and A. Samuelson (eds.) , pp. 265 – 270 , Numerical Methods in Industrial Forming Processes, NUMIFORM 89, 1989, A. A. Balkema , Rotterdam .
  • M. Esseghir and V. Sernas , A Cam—Driven Probe for Measurement of the Temperature Distribution in an Extruder Channel , SPE ANTEC Tech. Pap. , vol. 37 , pp. 54 – 57 , 1991 .
  • M. Esseghir , An Experimental Investigation of the Transport Phenomena in Single and Twin Screw Extruders , Ph.D. thesis , Rutgers , The State University of New Jersey , 1991 .
  • P. M. Gresho and R. L. Lee , Don't Suppress the Wiggles—They're Telling You Something , in T. J. R. Hughes (ed.) , Finite Element Methods for Connection Dominated Flows , AMD vol. 34 , pp. 37 – 61 , ASME , New York , 1979 .

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