Benjamin Lepers IPHC Strasbourg, WP2 Euronu 12/05/2010

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Presentation transcript:

Benjamin Lepers IPHC Strasbourg, WP2 Euronu 12/05/2010 Thermal study Benjamin Lepers IPHC Strasbourg, WP2 Euronu 12/05/2010

Outline Transient model Resistivie loss Next steps.

Transient model heat source term is calculated with Fluka for 4MW power beam and 4.5GeV proton kinetic energy P is the power at some location per second; the power for the target during 1 pulse is: The spatial heat source distribution is multiplied by a train of square pulse of duration 4micro s and periodicity 20 ms.

Transient heat equation: Boundary conditions: insulation and convection cooling on the surface of the target cylinder. Tf=293K, h=5000W/(m K)

Resistive loss Assume that most of the current is flowing between the external radius and the skin depth. Calculate the AC resistance For aluminium at f=5000Hz

Resistive loss; model Use ampere law and vector potential formulation:

Boundary conditions: z=0, 0.78: rot(A)=0, tangential components of the magnetic potential are set to 0 (magnetic insulation) R=re, surface current: Js=I0/(2Pi r)

Results Radius(mm) 18 15 11 Resistance[Ohm/m]*10^-4 2.96 3.58 4.97 Power_cal[kW/m]20°C Power density[kW/cm3] 61.9 0.49 74.9 0.72 103.9 1.37 Power_model[kW/m]20°C 61.6 74.6 103.6 Power_cal[kW/m]200°C 80.9 0.64 98.2 0.94 137.2 1.82 Power_model[kW/m]200°C 81.9 99.4 138.9 Aluminium

Results Radius(mm) 18 15 11 Power_cal[kW/m]20C 57.3 69.3 96.3 Power_model[kW/m]20°C 57.5 69.5 96.4 Power_cal[kW/m]200°C 91.8 111.6 156.7 Power_model[kW/m]200°C 11.6 156.4 Beryllium

Cooling, realistic h values, cooling design. Next steps Include resistive loss and heat source term from the beam in one model. Cooling, realistic h values, cooling design.