Diffusion in composite layers with automatic solution of the eigenvalue problem

Mikhailov, M.D.; Özişik, M.N.; Vulchanov, N.L.

doi:10.1016/s0017-9310(83)80167-7

Cited by 105 publications

(33 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These can be approximated with dummy material layers in which no storage of heat takes place; refer to Mikhailov et al [6] and Mikhailov and Vulchanov, [19] where similar approaches were proposed. In such a layer, the temperature profile, disregarding axisymmetry, is linear.…”

Section: Thermal Contact Resistances Between Adjacent Lining Layersmentioning

confidence: 99%

See 1 more Smart Citation

Model for temperature profile estimation in the refractory of a metallurgical ladle

Fredman

Saxén

1998

Metall Mater Trans B

View full text Add to dashboard Cite

Modeling of the transient thermal state of metallurgical ladles is motivated by the need for estimating the drop in temperature of the liquid metal in the ladle. On-line estimation of the state is required, since the same ladle is used in a number of casting cycles with rapid changes in boundary conditions for the temperature field, and the conditions in the current as well as previous cycles affect the thermal state. Although a large number of methods for the numerical solution of conduction-diffusion partial differential equations have been developed, there are still advantages to keeping thermal field computations at a relatively simple level, in contrast to the situation in the design process of ladles, where two-dimensional modeling may be required. Extensive computations under nonverifiable boundary and initial parameter values are not especially suited for real-time simulation of industrial processes. This article presents a novel approach to the solution of the one-dimensional transient heat conduction problem applied to ladle linings, relying on classical analytical techniques in combination with numerical methods. The performance of the model was validated by a comparison of predictions to thermocouple measurements from the refractory of a steelmaking ladle during a campaign of 26 casting cycles. Reasonable agreement between the measured and simulated variables could be established, which demonstrates the feasibility of the approach.

show abstract

Section: Thermal Contact Resistances Between Adjacent Lining Layersmentioning

confidence: 99%

“…Ramkrishna and Amundson [5] have given a convenient for- malism for the solution of the composite media diffusion problem and criteria for self-adjointness of the differential operator involved. Mikhailov et al [6] give a method for computer-aided solution of the eigenvalue problem for this case.…”

Section: Introductionmentioning

confidence: 99%

Model for temperature profile estimation in the refractory of a metallurgical ladle

Fredman

Saxén

1998

Metall Mater Trans B

View full text Add to dashboard Cite

show abstract

“…The use of composite media is necessary when the thermal and mechanical properties of a single layer is not sufficient as to fulfill both thermal and mechanical requirements. Various methods are available for the determination of the transient temperature distribution in multilayered composite media, such as the Laplace transform method [13], the orthogonal expansion technique [14], the Green's function approach [15] and the finite integral transform technique [16].…”

Section: Introductionmentioning

confidence: 99%

Lumped models for transient thermal analysis of multilayered composite pipeline with active heating

2015

Applied Thermal Engineering

View full text Add to dashboard Cite

“…Some analytical techniques commonly used in 1-D transient heat transfer are: separation of variables (SOV) (Arpaci 1966;Ozisik 1993;Incropera and DeWitt 1996), orthogonal or quasi-orthogonal expansion techniques (Tittle 1965;Mikhailov et al 1983) particularly suitable for slabs without internal heat generation, the Green's functions approach, mostly used in solids with energy generation (Carslaw and Jaeger 1959;Ozisik 1993), the modified Green's function (Feng and Michaelides 1997), that yields the total heat transfer of a homogeneous or a composite solid, and the Laplace transform (Carslaw and Jaeger 1959 with an embedded parallel pipe system for heating/cooling is usually faced by numerical methods (Stetiu 1998), but the finite difference heat balance method often requires a dense thermal nodal network to achieve a sufficient level of accuracy. A large number of nodes mean excessive computational effort and long simulation times (Holopainen et al 2007).…”

Section: Introductionmentioning

confidence: 99%

Transient simulation of a storage floor with a heating/cooling parallel pipe system

2010

View full text Add to dashboard Cite

The exact 2-D transient solution of a slab with an embedded array of parallel circular pipes for heating/cooling is developed. The boundary and initial conditions are: constant temperature at the pipe surface, upper slab surface subjected to convection heat transfer, thermal insulation at the slab bottom, and constant initial temperature. The analytical solution of the transient bi-dimensional problem is obtained together with the fluid temperature. A calculation example is analysed at the end of the paper to enlighten practical issues appearing in the computation of the analytical solution.

show abstract

Diffusion in composite layers with automatic solution of the eigenvalue problem

Cited by 105 publications

References 20 publications

Model for temperature profile estimation in the refractory of a metallurgical ladle

Model for temperature profile estimation in the refractory of a metallurgical ladle

Lumped models for transient thermal analysis of multilayered composite pipeline with active heating

Transient simulation of a storage floor with a heating/cooling parallel pipe system

Contact Info

Product

Resources

About