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Details for C. JAUPART
Affiliation Inst. de Physique du Globe de Paris, France
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Author in the following contribution(s)



        

            Introduction of energy equation.
Boussinesq approximation.
                
                



        

        

            Plumes and thermals. Use these to derive scaling relations for velocity as a function of power input and to discuss dynamical regimes (laminar vs. turbulent). Use plumes to illustrate Prandtl number, diffusion of heat and momentum and boundary layer structure.  
	(Application of simple convection code)
                
                



        

        

            Rayleigh-Bénard convection (no internal heating). Heuristic argument to introduce Rayleigh number. 
Dimensional analysis. Rayleigh number, Prandtl number, Reynolds number for convective flow.
                
                



        

        

            Examples of convective systems: mantle, magma reservoirs. 
Marginal stability: Influence of boundary conditions (Free boundaries, rigid boundaries, fixed temperature, fixed heat flux).
        

        

            Equation for the horizontally averaged temperature and the convective heat flux Thermal structure of fluid layer: boundary layers and well-mixed interior.
                
                



        

        

            Free boundaries versus rigid boundaries. 
Large Prandtl number fluids. Convective loop model. Scaling relations for velocity and heat flux (no internal heating).
                
                



        

        

            Scaling for internally heated fluids. Thermal structure of fluid layer
                
                



        

        

            Temperature-dependent viscosity. 
Scaling for velocity and heat flux.
                
                



        

        

            Non-Newtonian rheology. 
Non-Newtonian with temperature-dependent rheology. 
Scaling for velocity, heat flux, stress and strain-rate.
                
                



        

        

            Two-layer mantle: convection regimes, thermal structure.
                
                



        

        

            Evolution of initially stratified fluid
                
                



        




                                        

                                  

            



        
        


            

                
Organizers

                

                    Directors: A. Aoudia, P. Molnar, G. Houseman, C. Jaupart, M. Manga