Question

Please answet the the questions in detail it belong to Heat and Mass transfer

Question2 Marks 191 In the context of a finite difference scheme for a material of thermal conductivity k, use an energy balance to derive the nodal equation for an extemal side node (illustrated) which is: heated by an electrical heater (generating surface heat flux q, W/m), .and cooled by convection (of heat transfer Tm+1,n coefficient h, W/m'K) into an ambient of air temperature T mn A Assume unit depth (ie, Az 1 m). m,n-1 For a grid with equal spacings in the x- and y directions (4 Ax Ay), show that: 4+2Bi Where: the Biot number, Bi hd/k 161 A block 4 cm wide by 2 cm high by I m deep is heated by a centrally-located strip, I em wide, dissipating 50 W/m. The upper surface of the block (including the heater strip) is cooled by convection, represented by a heat transfer coefficient 10 WmK into an ambient of temperature 0°C The left, right and lower surfaces of the block are 2cm held constant at 0°C, and the thermal conductivity of the material is 0.1 W/mK. OO O Represent the block as a 5 x 3 nodal network, as shown in the figure, in order to show that the temperature of the node beneath the heater converges to 2.6°C. To keep the computation simple, calculate only to two places of decimals. 4cm

Answer 1

Please Ignore the material at the base.