### 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 language | English (US) |
---|---|

Pages (from-to) | 221-232 |

Number of pages | 12 |

Journal | UPB Scientific Bulletin, Series A: Applied Mathematics and Physics |

Volume | 78 |

Issue number | 3 |

State | Published - Jan 1 2016 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)
- Applied Mathematics

### Cite this

*UPB Scientific Bulletin, Series A: Applied Mathematics and Physics*,

*78*(3), 221-232.

}

*UPB Scientific Bulletin, Series A: Applied Mathematics and Physics*, vol. 78, no. 3, pp. 221-232.

**Co-rotational Maxwell fluid analysis in helical screw rheometer using adomian decomposition method.** / Zeb, M.; Siddiqui, Abdul M.; Haroon, T.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Co-rotational Maxwell fluid analysis in helical screw rheometer using adomian decomposition method

AU - Zeb, M.

AU - Siddiqui, Abdul M.

AU - Haroon, T.

PY - 2016/1/1

Y1 - 2016/1/1

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.

AB - 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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M3 - Article

AN - SCOPUS:84992697233

VL - 78

SP - 221

EP - 232

JO - UPB Scientific Bulletin, Series A: Applied Mathematics and Physics

JF - UPB Scientific Bulletin, Series A: Applied Mathematics and Physics

SN - 1223-7027

IS - 3

ER -