Fourier method for heat transport equation in the convergent channel

Вачагина, Е. К.; Ananyev, D. V.

doi:10.1016/j.ijheatmasstransfer.2012.10.018

Cited by 7 publications

(3 citation statements)

References 8 publications

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“…Fourier thermal conduction equation [ 38,39 ] suggested the relationship between the VR of melt‐to‐solid as follows

V_{x} = \frac{\frac{λ \cdot T \cdot A_{0}}{l} {+ ρ}_{m} \cdot V_{0} \cdot (\frac{L_{m}}{3} {+ H}_{1}) {+ V}_{m} \cdot ρ_{m} \cdot H_{1}}{ρ_{x} \cdot [false(T_{g} {‐ T}_{k} false) \cdot ρ_{x} + \frac{L_{x}}{5}] {+ ρ}_{m} \cdot (\frac{L_{m}}{3} {+ H}_{1})}

where V x is the volume of solid insert (Al‐coated TC4), V 0 is the volume of mold, ρ x is the density of the insert, ρ m is the density of AZ91D melt, T k is the preheating temperature of the insert, T is the casting temperature, T m is the temperature contact with Al‐coated TC4, L x is the latent heat of Al‐coated TC4, L m is the latent heat of AZ91D melt, C m is the specific heat of AZ91D, and H 1 is the superheat of AZ91D melt, which can be calculated by

H_{1} {= C}_{normalm} \cdot {(T}_{normalj} {‐ T}_{normalm})

…”

Section: Resultsmentioning

confidence: 99%

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Improving Shear Strength of Ti/Mg Bimetal Composites Prepared by Hot‐Dip Aluminizing and Solid–Liquid Compound Casting

et al. 2022

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It is a great challenge to achieve the joining between Ti and Mg for their low solid solubility and positive formation enthalpy value. To fabricate high strength TC4/AZ91D bimetallic composite with metallurgical bonding interface, Al coating is prepared on the surface of TC4 alloy by hot‐dip technology, and Al‐coated TC4/AZ91D bimetal is prepared by solid–liquid compound casting herein. The effect of the hot‐dip process on the thickness and composition of the Al coating on the TC4 sample is discussed. Process parameters including casting temperature and liquid‐to‐solid volume ratio are investigated. The results reveal that the shear strength of Al‐coated TC4/AZ91D bimetal reaches 48.5 MPa when hot dipping at 700 °C for 15 min and casting at 720 °C with the volume ratio of 24, while that of the sample without Al interlayer is only 19.1 MPa. The reason is due to the formation of Ti(Al, Mg)3 intermetallic compound and Al12Mg17 + δ‐Mg eutectic structure at the interface. The results are helpful for the further development of high strength Ti/Mg bimetal by combining hot‐dip technology and solid–liquid composite casting technology.

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“…Fourier thermal conduction equation [ 38,39 ] suggested the relationship between the VR of melt‐to‐solid as follows

V_{x} = \frac{\frac{λ \cdot T \cdot A_{0}}{l} {+ ρ}_{m} \cdot V_{0} \cdot (\frac{L_{m}}{3} {+ H}_{1}) {+ V}_{m} \cdot ρ_{m} \cdot H_{1}}{ρ_{x} \cdot [false(T_{g} {‐ T}_{k} false) \cdot ρ_{x} + \frac{L_{x}}{5}] {+ ρ}_{m} \cdot (\frac{L_{m}}{3} {+ H}_{1})}

H_{1} {= C}_{normalm} \cdot {(T}_{normalj} {‐ T}_{normalm})

…”

Section: Resultsmentioning

confidence: 99%

“…Fourier thermal conduction equation [38,39] suggested the relationship between the VR of melt-to-solid as follows…”

Section: Effects Of Melt-to-solid Vr On the Microstructure Of Al-coat...mentioning

confidence: 99%

Improving Shear Strength of Ti/Mg Bimetal Composites Prepared by Hot‐Dip Aluminizing and Solid–Liquid Compound Casting

et al. 2022

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“…The Fourier method is widely used to solve heat transfer problems in analytical form for the flow of both Newtonian and non‐Newtonian fluids with constant thermophysical properties. Almost all of them are devoted to the case of fluid flow in circular pipes, i.e.…”

Section: Introductionmentioning

confidence: 99%

Exact solution of heat transfer problem for generalized Newtonian flow between two infinite parallel plates

2016

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In this paper the exact solution of the heat transfer problem for generalized Newtonian flow between two infinite parallel plates is obtained by using the Fourier method and taking into account the viscous dissipation of the fluid. The original variable is proposed to expand the required function into a power series. The universal law is considered to describe a generalized Newtonian fluid. For example, an analytical solution is used to investigate the heat transfer problem for the flow of a rubber compound based on the synthetic isoprene rubber-3.

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The blood heat exchanger in intra-arterial selective cooling infusion for acute ischemic stroke: A computational fluid-thermodynamics performance, experimental assessment and evaluation on the brain temperature

Jiang

Gao

et al. 2022

Computers in Biology and Medicine

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Fourier method for heat transport equation in the convergent channel

Cited by 7 publications

References 8 publications

Improving Shear Strength of Ti/Mg Bimetal Composites Prepared by Hot‐Dip Aluminizing and Solid–Liquid Compound Casting

Improving Shear Strength of Ti/Mg Bimetal Composites Prepared by Hot‐Dip Aluminizing and Solid–Liquid Compound Casting

Exact solution of heat transfer problem for generalized Newtonian flow between two infinite parallel plates

The blood heat exchanger in intra-arterial selective cooling infusion for acute ischemic stroke: A computational fluid-thermodynamics performance, experimental assessment and evaluation on the brain temperature

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