Note on the Cooling of a Sphere in a mass of well-stirred Liquid

W. Peddie

doi:10.1017/S0013091500032582

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

If the original distribution of temperature be symmetrical about the centre, the equation of conduction has the well-known form

with the condition

v being the temperature; and the initial condition gives

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Jaeger, J. C. 1945. Conduction of heat in a slab in contact with well-stirred fluid. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 41, Issue. 1, p. 43.

Paterson, S 1947. The heating or cooling of a solid sphere in a well-stirred fluid. Proceedings of the Physical Society, Vol. 59, Issue. 1, p. 50.

Fulton, Charles T. 1977. Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol. 77, Issue. 3-4, p. 293.

Hatton, T.A. Chiang, A.S. Noble, P.T. and Lightfoot, E.N. 1979. Transient diffusional interactions between solid bodies and isolated fluids. Chemical Engineering Science, Vol. 34, Issue. 11, p. 1339.

Hatton, T.A. Lewellen, Philip C. and Lightfoot, E.N. 1982. Transient diffusion and reaction in solids immersed in poorly-stirred fluids—I Mathematical developments. Chemical Engineering Science, Vol. 37, Issue. 9, p. 1315.

Zhou, Y. Chu, J.S. and Wu, X.Y. 2004. Theoretical analysis of drug release into a finite medium from sphere ensembles with various size and concentration distributions. European Journal of Pharmaceutical Sciences, Vol. 22, Issue. 4, p. 251.

Galiano, Gonzalo and Velasco, Julián 2006. A dynamic boundary value problem arising in the ecology of mangroves. Nonlinear Analysis: Real World Applications, Vol. 7, Issue. 5, p. 1129.

Galiano, Gonzalo and Velasco, Julián 2006. Free Boundary Problems. Vol. 154, Issue. , p. 179.

Chastanet, J. and Wood, Brian D. 2008. Mass transfer process in a two‐region medium. Water Resources Research, Vol. 44, Issue. 5,

Anguiano, María Marín-Rubio, Pedro and Real, José 2014. Regularity results and exponential growth for pullback attractors of a non-autonomous reaction–diffusion model with dynamical boundary conditions. Nonlinear Analysis: Real World Applications, Vol. 20, Issue. , p. 112.

Article contents

Note on the Cooling of a Sphere in a mass of well-stirred Liquid

Extract

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests