Finite element solution to transient asymmetric heat conduction in multilayer annulus Research
This study investigate the heat transfer and thermal stresses for the time-dependent asymmetric heat conduction in a multilayer annulus by using finite element method. The realistic problem of isotropic multilayer annulus subjected to heat flux with internal heat generation and initial temperature is solved. The results of temperature and thermal stress have been computed numerically, illustrated graphically and interpreted technically. These results may be used in many engineering problem like combustion chamber, electric generator, compressor, hydraulic pumps etc. MSC: 35G30 • 35K20 • 74S05 • 80A20 • 80M10
Thermal stress analysis due to surface heat source Research
The present manuscript deals with the heat transfer and thermal stress analysis of cylinder due to internal heat generation under steady temperature conditions. The internal heat generation is taken as cylindrical surface heat source in annular region of linear length of cylinder and is situated concentrically inside the cylinder. The upper surface of a cylinder is subjected to arbitratory temperature whereas the lower surface and circular boundary surface are thermally insulated. The integral transform methods are used for the solution of non-homogeneous boundary value problem. The theory of linearized thermoelasticity based on solution of Navier’s equation in terms of Goodier’s thermoelastic displacement potential, Michell’s function and the Boussinesq’s function for cylindrical co-ordinate system have been used for discussion and analysis of thermal stresses. MSC: 00A79 • 01A08 • 34B60 • 35K50
Inferring Learning Strategies from Students ’ Errors
Student models in an Intelligent Tutoring System (ITS) aim at representing both correct and incorrect knowledge of the student in a particular domain of learning. This data serves as the basis upon which the Tutor can dispense remedial feedback. This paper presents a framework in which learners’ errors are diagnosed, classified and linked to cognitive processes associated with learning. The cognitive processes we identify are those of generalization, misattribution and ignorance. Our system applies to the domain of Second Language Acquisition and our approach uses Chomsky’s linguistic theory of Principles and Parameters. We particularly concentrate on the acquisition of the Phrase Structure component.