Second-grade fluid with Newtonian heating under Caputo fractional derivative: analytical investigations via Laplace transforms

N Sene - Mathematical Modelling and Numerical Simulation with …, 2022 - dergipark.org.tr
In this paper, we consider the constructive equations of the fractional second-grade fluid.
The considered fluid model is described by the Caputo derivative. The problem consists to …

Application of Atangana–Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium

M Saqib, I Khan, S Shafie - Chaos, Solitons & Fractals, 2018 - Elsevier
The objective of this article is to apply the Atangana–Baleanu derivative fractional in Caputo
sense to convective flow of Carboxy–Methyl–Cellulose (CMC) based Carbon nanotubes …

A comprehensive review on theoretical aspects of nanofluids: Exact solutions and analysis

NA Sheikh, DL Chuan Ching, I Khan - Symmetry, 2020 - mdpi.com
In the present era, nanofluids are one of the most important and hot issue for scientists,
physicists, and mathematicians. Nanofluids have many important and updated …

Impact of nanoparticles on vegetable oil as a cutting fluid with fractional ramped analysis

F Hasin, Z Ahmad, F Ali, N Khan, I Khan, SM Eldin - Scientific Reports, 2023 - nature.com
Better electrical insulation and thermal properties of vegetable oil with nanoparticles are
crucial for its uses as a replacement for conventional previous lubricants used in heavy and …

Heat and mass transfer analysis of MHD Jeffrey fluid over a vertical plate with CPC fractional derivative

S Abbas, M Nazar, ZU Nisa, M Amjad, SME Din… - Symmetry, 2022 - mdpi.com
Free convection flow of non-Newtonian fluids over flat, heated surfaces is an important
natural phenomenon that also occurs in human-made engineering processes under various …

[PDF][PDF] Heat transfer in mhd flow of maxwell fluid via fractional cattaneo-friedrich model: A finite difference approach

M Saqib, H Hanif, T Abdeljawad, I Khan… - Comput. Mater …, 2020 - researchgate.net
The idea of fractional derivatives is applied to several problems of viscoelastic fluid.
However, most of these problems (fluid problems), were studied analytically using different …

Exact Solutions of the Oberbeck–Boussinesq Equations for the Description of Shear Thermal Diffusion of Newtonian Fluid Flows

S Ershkov, N Burmasheva, DD Leshchenko… - Symmetry, 2023 - mdpi.com
We present a new exact solution of the thermal diffusion equations for steady-state shear
flows of a binary fluid. Shear fluid flows are used in modeling and simulating large-scale …

An explicit‐implicit numerical scheme for time fractional boundary layer flows

Y Nawaz, MS Arif, K Abodayeh - International Journal for …, 2022 - Wiley Online Library
This contribution is concerned with constructing a fractional explicit‐implicit numerical
scheme for solving time‐dependent partial differential equations. The proposed scheme has …

[HTML][HTML] Non-coaxial rotation flow of MHD Casson nanofluid carbon nanotubes past a moving disk with porosity effect

WNN Noranuar, AQ Mohamad, S Shafie, I Khan… - Ain Shams Engineering …, 2021 - Elsevier
In this article, the fluid flow and heat transfer on MHD Casson nanofluid influenced by the
non-coaxial rotation of moving disk passing through a porous medium is analyzed. A mixture …

Heat transfer analysis of generalized Jeffery nanofluid in a rotating frame: Atangana–Balaenu and Caputo–Fabrizio fractional models

F Ali, S Murtaza, NA Sheikh, I Khan - Chaos, Solitons & Fractals, 2019 - Elsevier
Time fractional comparative analysis has been examined for generalized Jeffrey nanofluid in
a rotatory system under consideration of porous medium and transverse magnetic field of …