Natural Convection Water/Glycerin–CNT Fractionalized Nanofluid Flow in a Channel with Isothermal and Ramped Conditions

Abstract

This article investigates heat and mass transport enrichment in natural convection fractionalized nanofluid flow inside a channel with isothermal and ramped wall conditions under the effects of chemical reactions, radiation, heat absorption, and the Soret effect. To obtain the fractional model, the Caputo time-fractional derivative definition is used, and analytical results are obtained by the Laplace transform. In two base fluids, water and glycerin, the impacts of two nanoparticles, single-wall carbon nanotubes (SWCNTs) and multiple-wall carbon nanotubes (MWCNTs), are investigated. The comparison of six distinct fluids, including water, water–SWCNT, water–MWCNT, glycerin, glycerin–SWCNT and glycerin–WMCNT, is explored graphically. Physical parameters’ effects on isothermal and ramped conditions are graphically depicted and explained in depth. For isothermal wall conditions, the variation in concentration, temperature and velocity is exponential, while for ramped wall conditions, the variation is steady. Finally, the results of skin frictions, Nusselt numbers and Sherwood numbers and for both ramped wall and isothermal wall conditions are evaluated in tabular form for various values of volume fraction. Moreover, it is observed that the temperature, velocity, Nusselt numbers and skin frictions increase by increasing the volume fraction of CNTs.

Investigation of adding metal foams and slip velocity on natural convection in a square mini-cavity

“…Figure 1 represents a schematic of the square cavity. The working fluid is water whose thermophysical properties [37] are ρ = 997 kg m −3 , C p = 4179 J kg −1 .K, k fluid = 0.613 W m −1 .K, β = 21 × 10 −5 1/K and μ = 9.0945 × 10 −4 pa.s, and the porous foam was made of aluminum with k foam = 202.4 W m −1 .K, modeled by Darcy-Brinkman-Forchheimer equation. To model the natural convection, the density of working fluid is considered with the Boussinesq approximation [38].…”

Heat transfer analysis of MHD oscillatory SWCNT/MWCNT‐H2O hybrid nanofluid flow in a channel

“…An enhancement of 26% in the rate of heat transfer was observed when considering a volume fraction of 0.05. Sadiq et al [46] studied the unsteady flow of nanofluid confined by upright plates in the presence of mass diffusion and buoyancy forces. The results showed that the temperature of the fluid exhibits exponential behaviour due to the isothermal conditions.…”

Solution of Water and Sodium Alginate-Based Casson Type Hybrid Nanofluid with Slip and Sinusoidal Heat Conditions: A Prabhakar Fractional Derivative Approach

“…The heat transfer fractional study based on AB and CF derivatives for MHD mixed convection flow with nanoparticles (copper oxide and silver) through an inclined moving surface using the Laplace method was completed by Bafakeeh et al [35]. Sadiq et al [36] used the Laplace approach to investigate the natural convection heat transfer NF fractional model with CF derivative inside a channel with ramped wall conditions under the impacts of radiation, chemical reactions, and the Soret effect.…”