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Nature analysis of Cross fluid flow with inclined magnetic dipole

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Abstract

The aim of this article is to explore the characteristics of fluid flow using the process of melting and entropy generation past on the Riga plate. Cross fluid is competent to explore the characteristics of fluid with high and low deformations under the influenced force. Transport of heat mechanism is inspected with key facts about melting conditions, viscous dissipation and thermal radiation. For the inspection of electromagnetic hydrodynamic aspects of fluid, Riga geometry due to this Lorentz force is produced. The partial differential form of the equations has been converted into an ordinary differential system with the use of similarity transformations. The reliable numerical Keller Box scheme is being applied to solve the obtained system of ordinary equations and comparison of the results have been performed through the built-in Matlab solver bvp4c. The obtained solutions have also been compared with the literature results. The physical quantities and their numerical attitude are provided in the form of statistical graphs. The Lorentz forces produce to slow down the fluid’s velocity, while the Hartman number accelerated the velocity.

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Data availability

The data is available with the corresponding author per request.

Abbreviations

M :

Melting factor

We :

Weissenberg number

N :

Index based on power law

\({\beta }^{*}\) :

Parameter of the viscosity

Β :

Dimensionless values

Nt :

Thermophoresis diffusion

Pr :

Prandtl number

A :

Stretching factor

Nb :

Brownian diffusion

Nr :

Thermal radiation

Q :

Hartmann number

Ec :

Eckert number

Λ:

Heat generation

Δ:

Chemical reaction parameter

Sc :

Schmidt number

Α :

Variable thickness

M :

Stretching variable parameter

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Acknowledgements

This research has received funding support from the NSRF via the Program Management Unit for Human Resources & Institutional Development, Research and Innovation [grant number B05F640204].

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Hazara University, Manshera, 21300, Pakistan

    Assad Ayub & Zulqurnain Sabir

  2. Department of Mathematical Science, College of Science, United Arab Emirates University, Al Ain, Abu Dhabi, UAE

    Salem Ben Said

  3. Department of Mathematics and Science Education, Harran University, Sanliurfa, Turkey

    Haci Mehmet Baskonus

  4. Department of Mathematics, Faculty of Engineering, Zagazig University, Zagazig, Egypt

    R. Sadat

  5. Faculty of Engineering and Technology, Future University in Egypt, New Cairo, 11835, Egypt

    Mohamed R. Ali

  6. Basic Engineering Mathematics Department, Benha Faculty of Engineering, Benha University, Benha, Egypt

    Mohamed R. Ali

  7. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

    Zulqurnain Sabir

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  1. Assad Ayub
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  2. Zulqurnain Sabir
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  3. Salem Ben Said
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  4. Haci Mehmet Baskonus
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Correspondence to Mohamed R. Ali.

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Ayub, A., Sabir, Z., Said, S.B. et al. Nature analysis of Cross fluid flow with inclined magnetic dipole. Microsyst Technol 29, 697–714 (2023). https://doi.org/10.1007/s00542-023-05438-5

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