MUET logo

Analysis of Viscoelastic Fluid with Heat Transfer in Helical Screw Rheometer

Authors

  • Fozia Shaikh

    Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Pakistan
    Author

  • Syed Feroz Shah

    Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Pakistan
    Author
    https://orcid.org/0000-0002-6964-1469

  • Abdul Majeed Siddiqui

    Department of Mathematics, Pennsylvania State University, York Campus, York, PA 17403, USA
    Author

DOI:

https://doi.org/10.22581/muet1982.0203

Keywords:

Co-rotational Maxwell fluid , Perturbation method , Helical Screw Rheometer , Heat transfer , Weissenberg number

Abstract

This study presents an analytical investigation of nonlinear heat transfer in viscoelastic materials processed through a single screw extruder. The model is based on a viscoelastic fluid framework, which captures both elastic and viscous effects relevant to polymer melt behaviour. A perturbation technique is applied to solve the governing nonlinear differential equations for temperature fields in the barrel, screw, and fluid domains. This study investigates nonlinear temperature effects, offering new insights into the thermal behaviour under screw-driven extrusion. A thorough investigation is conducted on the influence of key parameters, including the pressure gradient, Weissenberg number (Wi), and Brinkman number (Br), on temperature and heat flux profiles. The results show that increasing Br from 1 to 5 significantly raises the peak temperature and flow characteristics, and are interpreted in terms of the underlying physical mechanisms.

Downloads

References

Tamura, Magdalena S., Jerald M. Henderson, Robert L. Powell, and Charles F. Shoemaker. "Analysis of the helical screw rheometer for fluid food." Journal of food process engineering, vol. 16, no. 2, pp. 93-126, 1993.

Kraynik, A.M., Aubert, J.H., Chapman, R.N., Gyure, D.C., “Helical screw rheometer: A new concept in rotational rheometry”. Sandia National Labs, Albuquerque, NM, pp. 23873, 1984.

Kousemaker, T. M., Vakis, A. I., Picchioni, F., and Druetta, P. “Numerical investigation of non-newtonian fluids in single screw extruders-Part I: Steady-state studies.” Chemical Engineering Research and Design, vol. 218, pp. 25-39, 2025.

Gupta, V., Gangradey, R., Mukherjee, S. S., Verma, S., Dewasi, A., Mishra, J., and Nayak, P. A. ”Validation of 3-D non-isothermal CFD simulation with experimental results for single-screw hydrogen extruder.” Cryogenics, vol. 124, pp.103471, 2022.

Zeb, M., Awais, M., Farooq, M., Khalil, S., Alqahtani, A. S., and Malik, M. Y. “Investigation of heat transfer in the geometry of helical screw rheometer having couple stress fluid”. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, vol. 105, no. 1, pp. e202400907, 2025.

Shaikh K, Shaikh F, Khokhar RB, Memon KN. “Analytical Solution of Transient Flow of Fractional Oldroyd-B Fluid between Oscillating Cylinders”. VFAST Transactions on Mathematics. vol. 10, no. 2, pp.21-33, 2022.

Shaikh F, Shah SF, Siddiqui AM, Kumar L. “Application of recursive approach of pseudoplastic fluid flow between rotating coaxial cylinders”. Alexandria Engineering Journal. vol. 61, no. 10, pp. 7823-32, 2022.

Solnar, S., Stipek, J., Alzarzouri, F., and Zitny, R. “A simple mechanical spring-driven rheometer for measurement of Newtonian and non-Newtonian fluids—design, validation, and input correction”. Journal of Food Engineering, vol. 382, pp. 112198, 2024.

Marschik, C., Roland, W., and Osswald, T. A. “Melt conveying in single-screw extruders: Modeling and simulation”. Polymers, vol. 14, no. 5, pp. 875, 2022.

Meng, Z., Liu, L., Zhang, Y., and Sun, Y. “Two-relaxation-time lattice Boltzmann model of the velocity profiles and volumetric flow rate of generalized Newtonian fluids in a single-screw extruder”. AIP Advances, vol. 14, no.1, pp. 015065, 2024.

Gao, X., Lee, B., and Hwang, W. R. “Quantification of flows in a rectangular channel of a single-screw extruder with a small helix angle based on the energy dissipation rate”. Korea-Australia Rheology Journal, vol. 37, pp.37-79, 2025.

Delvar, E., Oliveira, I., Brito, M. S., Silva, C. G., Santamaria-Echart, A., Barreiro, M. F., and Santos, R. J. “Literature Review on Single and Twin-Screw Extruders Design for Polymerization Using CFD Simulation. Fluids, vol. 10, no. 1, pp. 9, 2025.

Pricci, A., and Percoco, G. “A generalized method aiming at predicting the polymer melt flow field in the metering zone of large-scale single-screw extruders.” The International Journal of Advanced Manufacturing Technology, vol. 132, no. 1, pp. 277-290, 2024.

Zeb M, Haroon T, Siddiqui AM. “Study of co-rotational Maxwell fluid in helical screw rheometer”. Boundary Value Problems. vol. 2015 p. 1-9, 2015.

Hijazi, M., Ajeel, M. S., Kamel, A. K., and Al-Khalid, H. “Perturbation methods for solving non-linear ordinary differential equations”. IAENG International Journal of Applied Mathematics, vol. 54, no. 10, pp. 2070-2082, 2024.

Ali, A. A., Memon, K. N., Shah, S. F., Amur, M., Ahmad, H., Siddiqui, A. M., Ozsahin, D. U., Askar, S. “The hydrodynamics of gravity-driven vessel drainage of third order fluid using perturbation method.” Heliyon, vol. 9, no. 10, 2023.

Zeb, Muhammad, Saeed Islam, Abdul Majeed Siddiqui, and Tahira Haroon. "Analysis of Third‐Grade Fluid in Helical Screw Rheometer." Journal of Applied Mathematics vol. 2013, no. 1, 2013, pp. 620238, 2013.

Published

2025-07-01

Issue

Vol. 44 No. 3 (2025): July Issue

Section

Articles

License

Copyright (c) 2025 Mehran University Research Journal of Engineering and Technology

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Analysis of Viscoelastic Fluid with Heat Transfer in Helical Screw Rheometer. (2025). Mehran University Research Journal of Engineering and Technology, 44(3), 54-64. https://doi.org/10.22581/muet1982.0203

Similar Articles

21-30 of 44

You may also start an advanced similarity search for this article.