TY - JOUR
T1 - Extended Hypergeometric Function as a Solution to Unsteady Fluid Flow through Porous Horizontal Channel using SUM Transform
AU - Abubakar, Umar Muhammad
AU - Kaurangini, Muhammad
PY - 2024
DA - May
Y2 - 2024
JF - Cankaya University Journal of Science and Engineering
JO - CUJSE
PB - Cankaya University
WT - DergiPark
SN - 2564-7954
SP - 1
EP - 5
VL - 21
IS - 1
LA - en
AB - 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.
KW - SUM transform
KW - Laplace transform
KW - Extended Hypergeometric Function
KW - Fluid flow Injection and Sunction Velocity
CR - W. N. Mathews Jr., M. A. Esrick, Z.Y. Teoh, and J. K. Freericks, “A physicist’s guide to the solution of Kummar’s equation and confluent Hypergeometric functions,” Condensed Matter Physics, vol. 25, no. 3, pp. 1-23, 2021.
CR - F. W. J. Olver (Ed.), NIST handbook of mathematical functions hardback and CD-ROM. Cambridge University
Press, 2010.
CR - W. Mgnus, F. Oberhettinger, R.P. Soni, Formulas and theorems for the special functions of mathematical physics. Springer-Verlag, Berlin, 1966.
CR - 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.
CR - 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.
CR - 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.
CR - 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.
CR - 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.
CR - C. Fetecau, I. A. Mirza, and D. Vieru, “Hydrodynamic permeability in axisymmetric flows of viscous fluids through an annular domain with porous layer,” Symmetry, vol. 15, no. 585, 2023.
CR - F. Ali, A. Zaib, and M. Khalid, “Unsteady MHD flow of Casson fluid past verticle surface using Laplace transform solution,” Journal of Computational Biophysics and Chemistry, vol. 22, no. 3, pp. 361-370, 2023.
CR - B.T. Sundari and R. Vijayalakshmi, “Exact solution for HMT effects on MHD Jeffrey fluid flow in the presence of
porous medium by Laplace transform technique,” JP Journal of Heat and Mass Transfer, vol. 34, pp. 19-34, 2023.
CR - M. Sadaf, Z. Perveen, I. Zainab, G. Akram, M. Abbas, and D. Baleanu, “Dynamics of unsteady fluid-flow caused
by a sinusoidally varying pressure gradient through a capillary tube with Caputo-Fabrizio derivative,” Thermal
Science, vol. 27 (Spec. Issue 1), pp. 49-56, 2023.
CR - N. L. Shah, S. Rehman, D. Vieru, and S-J. Yook, “Unsteady flows of micropolar fluid parallel to the axis of an
annular domain with a porous layer,” Alexandria Engineering Journal, vol. 76, no. 1, pp. 275-286, 2023.
CR - P. P. Dyke, An introduction to Laplace transforms and Fourier series, Springer, London, 2014.
CR - L. C. Andrews, Special functions of mathematics for engineers, Oxford Science Publication, Oxford, 1992.
UR - https://dergipark.org.tr/en/pub/cankujse/issue/84228/1397397
L1 - https://dergipark.org.tr/en/download/article-file/3565725
ER -