Free Convection Heat Transfer from Different Objects

Ali, Mohamed; Sadek, S. E.

doi:10.5772/intechopen.75427

Cited by 2 publications

(1 citation statement)

References 45 publications

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“…The three major modes of convection are known as natural, mixed and forced convection [26]. From these three mechanisms, natural convection is considered in this study.…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer Analysis of Unsteady Natural Convection Flow of Oldroyd-B Model in the Presence of Newtonian Heating and Radiation Heat flux

et al. 2020

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The main focus of this theoretical inspection is to explore the control of Newtonian heating on heat transfer for an unsteady natural convection flow of Oldroyd-B fluid confined to an infinitely long, vertically static plate. Partial differential equations are constructed effectively to describe the fluid flow and heat transfer. Some appropriate dimensionless quantities and Laplace transformation are employed as basic tools to evaluate the solutions of these differential equations. However, due to the complex nature of velocity field, solution is approximated by using Durbin's numerical Laplace inverse algorithm. This solution is further validated by obtaining the velocity solution through algorithms proposed by Stehfest and Zakian. The temperature and velocity gradient are also determined to anticipate the heat transfer rate and skin friction at wall. Some well known results in literature are also deduced from the considered model. Conclusively, to have a deep understanding of the physical mechanism of considered model, and influence of implanted parameters, some outcomes are elucidated with the assistance of tables and graphs. As a result, it is found that under the effect of Newtonian heating, freely convective viscous fluid has greater velocity than Oldroyd-B fluid, Maxwell fluid and second grade fluid. INDEX TERMS Free convection, Laplace transform, Newtonian heating, Oldroyd-B model, thermal radiation. NOMENCLATURE ρ Fluid density (kgm −3) g Acceleration due to gravity (ms −2) β Coefficient of thermal expansion (K −1) T Fluid temperature (K) x, y, z Spatial variables (m) u, v, w Velocity components (ms −1) The associate editor coordinating the review of this manuscript and approving it for publication was Hamid Mohammad-Sedighi. µ Dynamic viscosity (kgms −1) λ Relaxation time (s) λ r Retardation time (s) S Shear stress (Nm −2) ν Kinematic viscosity (m 2 s −1) k Thermal conductivity (Wm −1 K −1) c p Specific heat (Jkg −1 K −1) σ 1 Stefan-Boltzmann coefficient (Wm −2 K −4) K 1 Rosseland absorption constant (m −1) T ∞ Ambient temperature (K)

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“…The three major modes of convection are known as natural, mixed and forced convection [26]. From these three mechanisms, natural convection is considered in this study.…”

Section: Introductionmentioning

confidence: 99%