Co-rotational Maxwell fluid analysis in helical screw rheometer using adomian decomposition method

M. Zeb, Abdul M. Siddiqui, T. Haroon

Research output: Contribution to journalArticle

Abstract

This paper considers a theoretical study on steady incompressible flow of corotational Maxwell fluid in helical screw rheometer (HSR). The rheological constitutive equation for co-rotational Maxwell fluid model gives the second order nonlinear coupled differential equations which could not be solved explicitly. An iterative procedure, Adomian decomposition method (ADM) is used to obtain the analytical solution. Expressions for velocity components in Θ and z - direction are obtained. The volume flow rates are calculated for the azimuthal and axial components of velocity field by introducing the effect of flights. The results have been discussed with the help of graphs as well. We observe that the velocity profiles are strongly depend on non-dimensional parameter α ~, with the increase in α ~, progressive increase seen in the flow profiles. We also noted that the parabolicity of flow profiles increase with increase in the magnitude of pressure gradients. Thus the profound conclusion is that extrusion process depends on the involved nondimensional parameters.

Original languageEnglish (US)
Pages (from-to)221-232
Number of pages12
JournalUPB Scientific Bulletin, Series A: Applied Mathematics and Physics
Volume78
Issue number3
StatePublished - Jan 1 2016

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Maxwell fluids
Maxwell Fluid
rheometers
Adomian Decomposition Method
Rheometers
screws
velocity distribution
Decomposition
z direction
decomposition
Fluids
incompressible flow
Extrusion
constitutive equations
Fluid Model
Pressure Gradient
Iterative Procedure
Velocity Profile
profiles
Steady Flow

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

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abstract = "This paper considers a theoretical study on steady incompressible flow of corotational Maxwell fluid in helical screw rheometer (HSR). The rheological constitutive equation for co-rotational Maxwell fluid model gives the second order nonlinear coupled differential equations which could not be solved explicitly. An iterative procedure, Adomian decomposition method (ADM) is used to obtain the analytical solution. Expressions for velocity components in Θ and z - direction are obtained. The volume flow rates are calculated for the azimuthal and axial components of velocity field by introducing the effect of flights. The results have been discussed with the help of graphs as well. We observe that the velocity profiles are strongly depend on non-dimensional parameter α ~, with the increase in α ~, progressive increase seen in the flow profiles. We also noted that the parabolicity of flow profiles increase with increase in the magnitude of pressure gradients. Thus the profound conclusion is that extrusion process depends on the involved nondimensional parameters.",
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N2 - This paper considers a theoretical study on steady incompressible flow of corotational Maxwell fluid in helical screw rheometer (HSR). The rheological constitutive equation for co-rotational Maxwell fluid model gives the second order nonlinear coupled differential equations which could not be solved explicitly. An iterative procedure, Adomian decomposition method (ADM) is used to obtain the analytical solution. Expressions for velocity components in Θ and z - direction are obtained. The volume flow rates are calculated for the azimuthal and axial components of velocity field by introducing the effect of flights. The results have been discussed with the help of graphs as well. We observe that the velocity profiles are strongly depend on non-dimensional parameter α ~, with the increase in α ~, progressive increase seen in the flow profiles. We also noted that the parabolicity of flow profiles increase with increase in the magnitude of pressure gradients. Thus the profound conclusion is that extrusion process depends on the involved nondimensional parameters.

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