A similarity solution of fin equation with variable thermal conductivity and heat transfer coefficient

Simple item page
dc.contributor.authorPakdemirli M.
dc.contributor.authorŞahin A.Z.
dc.date.accessioned2024-07-22T08:23:40Z
dc.date.available2024-07-22T08:23:40Z
dc.date.issued2006
dc.description.abstractA nonlinear fin equation in which thermal conductivity is an arbitrary function of temperature and, heat transfer coefficient is an arbitrary function of spatial variable is considered. Scaling transformation is applied to the equations to determine the specific forms of these functions for which the equation admits such type of transformation. It is found that for arbitrary heat conduction function, scaling transformation exists for an inverse square heat transfer coefficient. Selecting also the conductivity as an exponential function, the partial differential equation is transferred to an ordinary differential equation via similarity transformations. The resulting equation is solved numerically and temperature distribution is determined for various heat conductivity parameters. © Association for Scientific Research.
dc.identifier.DOI-ID10.3390/mca11010025
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19643
dc.language.isoEnglish
dc.publisherAssociation for Scientific Research
dc.rightsAll Open Access; Gold Open Access
dc.subjectHeat transfer
dc.subjectHeat transfer coefficients
dc.subjectOrdinary differential equations
dc.subjectPartial differential equations
dc.subjectThermal conductivity
dc.subjectNonlinear fin equation
dc.subjectScaling transformations
dc.subjectSpatial variables
dc.subjectFins (heat exchange)
dc.titleA similarity solution of fin equation with variable thermal conductivity and heat transfer coefficient
dc.typeArticle

Files

Collections

Scopus Koleksiyonu