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Laminar flow with temperature-dependent fluid properties between two stretching rectangular surfaces

  • Nicolas Mam Bakalack , Valjacques Nyemb Nsoga EMAIL logo , Gérémino Ella Eny , Martin N. Azese and Jacques Hona
Published/Copyright: July 29, 2024
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 79 Issue 9

Abstract

The Navier–Stokes equations and the energy equation are used to investigate a fluid flow between two stretching rectangular surfaces subjected to a temperature difference that affects the dynamic viscosity and thermal conductivity of the fluid. The wall stretching process enhances the momentum boundary layer thickness which slows the axial motion of the fluid away from the flow boundaries. When the stretching parameter γ is equal to 1, that is the case corresponding to symmetric stretching, the minimum of the axial velocity is located at the midplane of the channel y = 0.5 if the viscosity variational parameter α equals 0. This minimum moves towards the region 0.5 < y < 1 for α > 0, but migrates towards the region 0 < y < 0.5 for α < 0. Moreover, in the case of symmetric stretching corresponding to γ = 1, the growth in Reynolds number Re tends to increase the axial velocity around the middle of the channel for α ≥ 0 in the attempt to counteract the effects of enhancing the momentum boundary layer thickness leading to the flattening of axial velocity profiles for Re ≥ 100. While the conductivity variational parameter β does not influence enough the fluid dynamics and heat transfer, the Reynolds number Re and the Péclet number Pé can increase or decrease the temperature distribution inside the channel depending on the sign of the parameter α. Practical applications related to the present study include lubrification, food manufacturing, paint industries, extrusion processes in plastic and metal industries.

Keywords: numerical solutions; nonlinear two-point boundary-value problem; laminar flow; heat transfer; stretchable surfaces; temperature-dependent physical properties
Corresponding author: Valjacques Nyemb Nsoga, Applied Mechanics Laboratory, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon; and University Institute of Wood Technology, University of Yaounde I, P.O. Box 306, Mbalmayo, Cameroon, E-mail: 

Acknowledgment

The authors would like to express their gratitude to the anonymous Reviewers for the corrections they have made and the valuable comments they have suggested in order to improve the paper.

  1. Research ethics: Not applicable.

  2. Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  3. Competing interests: The authors state no competing interests.

  4. Research funding: None declared.

  5. Data availability: Not applicable.

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Received: 2024-05-09
Accepted: 2024-07-05
Published Online: 2024-07-29
Published in Print: 2024-09-25

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/zna-2024-0101
Keywords for this article
numerical solutions; nonlinear two-point boundary-value problem; laminar flow; heat transfer; stretchable surfaces; temperature-dependent physical properties

Articles in the same Issue

  1. Frontmatter
  2. Atomic, Molecular & Optical Physics
  3. Computerized simulation of 2-dimensional phase contrast images using spiral phase plates in neutron interferometry
  4. Exact solutions of Pauli–Schrödinger equation for a particle with position dependent mass and magnetic momentum in a generalized Morse potential and magnetic field
  5. Dynamical Systems & Nonlinear Phenomena
  6. Wronskian solution, Bäcklund transformation and Painlevé analysis to a (2 + 1)-dimensional Konopelchenko–Dubrovsky equation
  7. Fundamental Concepts of Physical Science
  8. Axion-electrodynamics and the Poynting theorem
  9. Neutron dynamics in ultra-strong electromagnetic fields: an example model
  10. Hydrodynamics & Plasma Physics
  11. On oblique interaction of water waves with semi-infinite submerged elastic plate
  12. Laminar flow with temperature-dependent fluid properties between two stretching rectangular surfaces
  13. On the existence of simple waves for two-dimensional non-ideal magneto-hydrodynamics
  14. Impact of dilating forcing amplitudes on a peristaltically driven non-Newtonian fluid in an elastic tube: application to swallowing disorders
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