Research Article

Extended Hypergeometric Function as a Solution to Unsteady Fluid Flow through Porous Horizontal Channel using SUM Transform

Volume: 21 Number: 1 May 1, 2024
EN

Extended Hypergeometric Function as a Solution to Unsteady Fluid Flow through Porous Horizontal Channel using SUM Transform

Abstract

The objective of this paper is to obtain solution to unsteady fluid flow through porous horizontal channel with injection and suction velocities using SUM integral transform. The solution is represented in terms of extended special function that contained two Fox-Wright functions in its kernel.

Keywords

References

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  2. F. W. J. Olver (Ed.), NIST handbook of mathematical functions hardback and CD-ROM. Cambridge University Press, 2010.
  3. W. Mgnus, F. Oberhettinger, R.P. Soni, Formulas and theorems for the special functions of mathematical physics. Springer-Verlag, Berlin, 1966.
  4. M. P. Chaudhary, M. L. Kaurangini, I. O. Kiymaz, U. M. Abubakar, and E. Ata, “Fractional integrations for the new generalized hypergeometric functions,” Journal of Ramanujan Society of Mathematical Science, vol. 10, no. 2, pp. 77-100, 2023.
  5. F. Ghanim, H. F. Al-Janaby, and M. Al-Momani, “A new Euler-beta function model with statistical implementation related to the Mittag-Leffler-Kumar function,” Kuwait Journal of Science, vol. 2023, pp. 1-27, 2023.
  6. S. Q. Hasan, U. M. Abubakar, and M. L. Kaurangini, “The new integral transform ‘’SUM transform’’ and its properties,” Palestine Journal of Mathematics, vol. 12 (Special Issue I), pp. 30-45, 2023.
  7. S. Q. Hasan, A. I. Mansour, and U. M. Abubakar, “Applications of the Sum integral transform in science and technology,” Wasit Journal for Pure Science, vol. 2, no. 3, pp. 29-40, 2023.
  8. R. P. Sharma, S. R. Mishra, and G. K. Panda, “Radiation absorption impact on the thermophysical properties of Cu and TiO2-water nanofluids: Laplace transform technique,’’ International Journal of Modern Physics B, pp. 2450238, 2023.

Details

Primary Language

English

Subjects

Partial Differential Equations, Mathematical Methods and Special Functions, Theoretical and Applied Mechanics in Mathematics

Journal Section

Research Article

Publication Date

May 1, 2024

Submission Date

November 29, 2023

Acceptance Date

March 25, 2024

Published in Issue

Year 2024 Volume: 21 Number: 1

APA
Kaurangini, M., & Abubakar, U. M. (2024). Extended Hypergeometric Function as a Solution to Unsteady Fluid Flow through Porous Horizontal Channel using SUM Transform. Cankaya University Journal of Science and Engineering, 21(1), 1-5. https://izlik.org/JA43FK98YM
AMA
1.Kaurangini M, Abubakar UM. Extended Hypergeometric Function as a Solution to Unsteady Fluid Flow through Porous Horizontal Channel using SUM Transform. CUJSE. 2024;21(1):1-5. https://izlik.org/JA43FK98YM
Chicago
Kaurangini, Muhammad, and Umar Muhammad Abubakar. 2024. “Extended Hypergeometric Function As a Solution to Unsteady Fluid Flow through Porous Horizontal Channel Using SUM Transform”. Cankaya University Journal of Science and Engineering 21 (1): 1-5. https://izlik.org/JA43FK98YM.
EndNote
Kaurangini M, Abubakar UM (May 1, 2024) Extended Hypergeometric Function as a Solution to Unsteady Fluid Flow through Porous Horizontal Channel using SUM Transform. Cankaya University Journal of Science and Engineering 21 1 1–5.
IEEE
[1]M. Kaurangini and U. M. Abubakar, “Extended Hypergeometric Function as a Solution to Unsteady Fluid Flow through Porous Horizontal Channel using SUM Transform”, CUJSE, vol. 21, no. 1, pp. 1–5, May 2024, [Online]. Available: https://izlik.org/JA43FK98YM
ISNAD
Kaurangini, Muhammad - Abubakar, Umar Muhammad. “Extended Hypergeometric Function As a Solution to Unsteady Fluid Flow through Porous Horizontal Channel Using SUM Transform”. Cankaya University Journal of Science and Engineering 21/1 (May 1, 2024): 1-5. https://izlik.org/JA43FK98YM.
JAMA
1.Kaurangini M, Abubakar UM. Extended Hypergeometric Function as a Solution to Unsteady Fluid Flow through Porous Horizontal Channel using SUM Transform. CUJSE. 2024;21:1–5.
MLA
Kaurangini, Muhammad, and Umar Muhammad Abubakar. “Extended Hypergeometric Function As a Solution to Unsteady Fluid Flow through Porous Horizontal Channel Using SUM Transform”. Cankaya University Journal of Science and Engineering, vol. 21, no. 1, May 2024, pp. 1-5, https://izlik.org/JA43FK98YM.
Vancouver
1.Muhammad Kaurangini, Umar Muhammad Abubakar. Extended Hypergeometric Function as a Solution to Unsteady Fluid Flow through Porous Horizontal Channel using SUM Transform. CUJSE [Internet]. 2024 May 1;21(1):1-5. Available from: https://izlik.org/JA43FK98YM