APPROACH FOR DETERMINING SURFACE-TEMPERATURE DISTRIBUTIONS OF SOLID OBJECTS SUBJECTED TO HEATING APPLICATIONS

This study presents a simple technique of determining surface temperat ure values and/or distributions of solid objects of various geometrica l shapes (e.g. infinite slab, infinite cylinder, and sphere) during he ating in a medium under natural or forced convection conditions. In th e model, the boundary condition of the third kind (i.e., 0.1 < Bi < 10 0) in transient heat transfer, which is commonly encountered, is used. In many practical applications ranging from metallurgy to food engine ering processes, the measurement of surface temperatures of such solid objects is a remarkable problem; however, centre temperature measurem ents are quite easy. For this reason, simple and accurate models are r equired for use in practice. The proposed model depends on the centre temperature and determines the surface temperatures using the centre t emperature measurements. In order to test the present analytical model , an actual example for a slab object was given and the centre and sur face temperature profiles were drawn. In addition, the centre and surf ace temperature distributions for infinite slab, infinite cylinder, an d sphere were computed for the values of 0.1, 1, 10, and 100 of the Bl ot number and were exhibited as reference graphics. As a result, the p resent model is capable of determing surface temperatures of various g eometrical objects heated in any medium using their centre temperature measurements in a simple and accurate manner.