please solve part b and C !!!!'

Question 1 (Problem \# 5.20 Textbook modified) (30 points) A steal bar of thickness 12mm is annealed by passing it through a large fumace whose walls are maintained at a temperature Tw corresponding to that of combustion gases flowing through the furnace (i.e. Tv=Tn=Tmar ) with a uniform convective beat transfer coefficient of h=100W/m2K. The steel strip, whose density, specific heat, thermal conductivity, and emissivity are =7900kg/m3;Cr=640J/kgK;k=30W/mK;=0.7, respectively, is to be heated from Ti=300C to Ti=600C as shown in the below figure: For this system, Lumped Capacitive Resistance Model is a very good approximation. a. Considering beat transferred to steel strip by combined convection and radiation for Tw=T=Tm=700C, calculate time required to heat the strip from 300C to 700C. If the strip is moving at 0.5m/s, what should be the length of the heating section of the furnace? For analysis, you may use linearized radiation heat transfer coefficient as hr=(Tes+T)(Tmx2+T2) where Tms represents average of the initial and final b. Resolve part (a) by considering only convection being the mode of beat transfer in the furmace temperatures of the steel strip. and caleulate time required to reach 600C and the length of the heating rone. c. In a real scenario, the annealing process can be accelerated (the strip speed increased) by increasing the environmental temperatures. For each set of environmental temperature Tz=T=T=700,850,1000C, plot the strip final temperature ( T) versus time for TF=300C600C by increasing Ty in steps of 25C. Also plot hr as a function of environmental temperature