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<p>The Riga plate is a significant tool in the development of the engineering world driven by technical innovation. In this study, the same plate is considered, which is infinite and accelerating with some velocity. A convective flow of Casson fluid will then be generated due to the motion of the plate. The constant proportional Caputo (CPC) operator uses Fick’s and Fourier’s laws to obtain the governing equations. The Laplace method is applied to the resultant fractional PDEs to transform them into ODEs and then solved to get analytical and semi-analytical solutions. With the help of Zakian’s numerical method, the Laplace transform is inverted only for the case of velocity, while precise solutions for concentration and temperature are formed. Variations of parameters like Casson parameter, mass Grashof number, Prandtl number, modified Hartmann number Ha, Grashof number, fractional parameters, magnetic parameter M, and Schmidt number are taken and sketched graphs to discuss the flow behavior. It is noted that thermal, concentration, and momentum profiles derived with the CPC derivative are deteriorating as compared to the classical Caputo operator. Furthermore, the presence of the Riga plate increases the dynamic character of the fractional Casson fluid.</p>

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Fractional Analysis of Unsteady Casson Flow in the Presence of Riga Plate

  • 期刊论文

  • 发表日期：

    2025年10月6日

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  • Shajar Abbas,
  • Zaib Un Nisa,
  • Mudassar Nazar,
  • Aiedh Mrisi Alharthi,
  • Emad A. Az-Zo’bi,
  • Mohamad Ahmed Saleem AL-Khasawneh,
  • Mustafa Bayram

摘要

The Riga plate is a significant tool in the development of the engineering world driven by technical innovation. In this study, the same plate is considered, which is infinite and accelerating with some velocity. A convective flow of Casson fluid will then be generated due to the motion of the plate. The constant proportional Caputo (CPC) operator uses Fick’s and Fourier’s laws to obtain the governing equations. The Laplace method is applied to the resultant fractional PDEs to transform them into ODEs and then solved to get analytical and semi-analytical solutions. With the help of Zakian’s numerical method, the Laplace transform is inverted only for the case of velocity, while precise solutions for concentration and temperature are formed. Variations of parameters like Casson parameter, mass Grashof number, Prandtl number, modified Hartmann number Ha, Grashof number, fractional parameters, magnetic parameter M, and Schmidt number are taken and sketched graphs to discuss the flow behavior. It is noted that thermal, concentration, and momentum profiles derived with the CPC derivative are deteriorating as compared to the classical Caputo operator. Furthermore, the presence of the Riga plate increases the dynamic character of the fractional Casson fluid.