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Keywords: Exact solutions
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Journal Articles
An in-depth theoretical investigation of biomagnetic fluid flow and heat-mass transfer on a porous stretching/shrinking cylinder hosting motile gyrotactic microorganisms
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International Journal of Numerical Methods for Heat & Fluid Flow (2026) 36 (2): 740–761.
Published: 08 December 2025
...@unitbv.ro 12 09 2025 23 10 2025 26 10 2025 Exact solutions MHD nanofluid flow Stretching/shrinking cylinder Porous medium Gyrotactic microorganism a , A 0 , A 1 , A 2 = Constant; C w = Fluid concentration...
Journal Articles
Slip flow in Tesla disk turbines
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International Journal of Numerical Methods for Heat & Fluid Flow (2025) 35 (5): 1906–1919.
Published: 12 May 2025
... be contacted at: turkyilm@hacettepe.edu.tr 23 02 2025 02 04 2025 15 04 2025 © Emerald Publishing Limited 2025 Emerald Publishing Limited Licensed re-use rights only Tesla disk turbines Slip effects Flow field Exact solutions Torque (10) H ( 0 ) = L 1...
Journal Articles
Exploring soliton solutions and dynamical interaction wave-form patterns of (3 + 1)-dimensional combined pKP–BKP equation
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International Journal of Numerical Methods for Heat & Fluid Flow (2025) 35 (5): 1790–1817.
Published: 08 May 2025
... solutions, breathers, multi solitons and interaction solutions are very well furnished in this study and the physical nature of many intriguing exact solutions are illustrated using 2D, 3D and density graphs. The extracted solutions are completely new and have not been covered in other works of literature...
Journal Articles
Multiple exact solutions in tri-hybrid nanofluid flow: a study of elastic surface effects
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International Journal of Numerical Methods for Heat & Fluid Flow (2025) 35 (1): 277–299.
Published: 25 November 2024
... temperature field, skin friction and temperature gradient in closed-form formulas. The study examines both stretching and shrinking surfaces, distinguishing between unique and dual solutions. The methodology includes deriving exact solutions for exponential and algebraic temperature and temperature rate...
Journal Articles
Wall laminar nanofluid jet flow and heat transfer
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International Journal of Numerical Methods for Heat & Fluid Flow (2023) 33 (5): 1818–1836.
Published: 09 December 2022
...Waqar Khan Usafzai; Rizwan Ul Haq; Emad H. Aly Purpose This work aims to investigates exact solutions of the classical Glauert’s laminar wall jet mass and heat transfer under wall suction, wall contraction or dilation, and two thermal transport boundary conditions; prescribed constant surface...
Journal Articles
Thermal performance of optimum exponential fin profiles subjected to a temperature jump
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International Journal of Numerical Methods for Heat & Fluid Flow (2022) 32 (3): 1002–1011.
Published: 06 July 2021
... regarding the base fin thickness and the fin length of the exponential profiles are assessed by means of optimizing the base heat transfer rate given a cross-sectional area. Originality/value Exact solutions are provided for optimum exponential type fins subjected to a temperature jump. The optimum...
Journal Articles
Performance of combined spectral collocation method and artificial compressibility method for 3D incompressible fluid flow and heat transfer
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International Journal of Numerical Methods for Heat & Fluid Flow (2020) 30 (12): 5037–5062.
Published: 01 April 2020
... compressibility equations are solved to obtain the steady results by the ACM. Three-dimensional exact solutions with trigonometric function form and exponential function form are constructed to test the accuracy of the combined method. Findings The SCM-ACM is developed successfully for three-dimensional...
Journal Articles
Eyring–Powell fluid flow through a circular pipe and heat transfer: full solutions
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International Journal of Numerical Methods for Heat & Fluid Flow (2020) 30 (11): 4765–4774.
Published: 14 February 2020
... explicitly accessible. Findings It is proven here that the hydrodynamically fully developed fluid flow acknowledges the exact solution, influenced by a non-Newtonian parameter as well as the adverse pressure gradient parameter prevailing the flow domain. These parameters are unified under a new parameter...
Journal Articles
Haar wavelet quasilinearization approach for MHD Falkner–Skan flow over permeable wall via Lie group method
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International Journal of Numerical Methods for Heat & Fluid Flow (2017) 27 (6): 1332–1350.
Published: 05 June 2017
... 2016 © Emerald Publishing Limited 2017 Emerald Publishing Limited Licensed re-use rights only MHD Falkner–Skan flow Numerical solutions Exact solutions Haar wavelet approach Lie symmetry analysis The concept of magneto-hydrodynamics (MHD) is the physical-mathematical...
Journal Articles
Exact solutions of extended shallow water wave equations by exp‐function method
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International Journal of Numerical Methods for Heat & Fluid Flow (2013) 23 (2): 305–319.
Published: 22 March 2013
...Ahmet Bekir; Esin Aksoy Purpose The purpose of this paper is to apply the exp‐function method to construct exact solutions of nonlinear wave equations. The proposed technique is tested on the (2+1) and (3+1) dimensional extended shallow water wave equations. These equations play a very important...
