A comparative analysis of fractional model of second grade fluid subject to exponential heating: application of novel hybrid fractional derivative operator

Figures & data

Figure 1. Physical geometry of the second grade fluid model.

Figure 2. Representation of temperature profile for varying the values of Pr via CF, ABC and CPC.

Figure 3. Representation of concentration profile via CF, ABC and CPC for distinct values of Sc.

Figure 4. Representation of second grade fluid velocity via CF, ABC and CPC. for distinct values of Gm.

Figure 5. Representation of second grade fluid velocity via CF, ABC and CPC for distinct values of Gr.

Figure 6. Representation of second grade fluid velocity via CF, ABC and CPC for distinct values of Pr.

Figure 7. Representation of second grade fluid velocity via CF, ABC and CPC for distinct values of Sc.

Figure 8. Trace of dimensionless velocity for comparison of CPC, ABC and CF models.

Figure 9. Comparison of the present velocity graphs, taking Gm = 0, with Haq et al. (2021) and Song et al. (2021) velocity graphs.

Haq, S. U., Sehra, S., Shah, I. A., Jan, S. U. & Khan, I. (2021). MHD flow of generalized second grade fluid with modified Darcy’s law and exponential heating using fractional Caputo-Fabrizio derivatives. Alexandria Engineering Journal, 4, 60, 3845–3854. doi:10.1016/j.aej.2021.02.038

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Song, Y. Q., Raza, A., Al-Khaled, K., Farid, S., Khan, M. I., Khan, S. U., … Khan, M. I. (2021). Significances of exponential heating and Darcy’s law for second grade fluid flow over oscillating plate by using Atangana-Baleanu fractional derivatives. Case Studies in Thermal Engineering, 27, 101266.

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Data availability statement

The data used in current study, available within the article that support the findings of the present research work.