Q$3.$ Consider steady two$-$dimensional heat

transfer in an L$-$shaped solid body

whose cross section is given in the

figure. The thermal conductivity of the

body is k$=45($W$)/($m$)$K$,$ and heat is $.$

generated in the body at a rate of q$^()^(\text{'}\text{'}\text{'})=$

$5\backslash$times $10^(6)($W$)/($m$^(3)).$ The right surface of the

body is insulated, and the bottom

surface is maintained at a uniform

temperature of $180\backslash$deg C$.$ The entire top surface is subjected to convection with ambient air

at T$\_(\backslash$infty $)=30\backslash$deg C with a heat transfer coefficient of h$=55($W$)/($m$^(2))*$K$,$ and the left surface

is subjected to heat flux at a uniform rate of q$\_($L$)^()=8000($W$)/($m$^(2)).$ The nodal network of the

problem consists of $13$ equally spaced nodes with $\backslash$Delta x$=\backslash$Delta y$=1\mathrm{.}5$cm$.$ Five of the nodes

are at the bottom surface and thus their temperature are konwn. $($a$)$ Obtain the finite

difference equations at the remaining eight nodes and $($b$)$ determine the nodal

temperatures by solving those equations using Gauss Seidel iteration technique. Write

your own code using any computer language and run it on MATLAB platform.

Q$4.$ Solve the problem in Q$3$ using the graphical method, flux$-$plotting.

Q$4.$ Solve the problem in Q$3$ using the graphical method, flux$-$plotting.

want to Q$4$ SOLUT$$ONS PLEASEEEE JUSTQ$4$

Consider steady two$-$dimensional heat

transfer in an L$-$shaped solid body

whose cross section is given in the

figure. The thermal conductivity of the

body is k$=45($W$)/($m$)$K$,$ and heat is

generated in the body at a rate of q$^()^(\text{'}\text{'}\text{'})=$

$5\backslash$times $10^(6)($W$)/($m$^(3)).$ The right surface of the

body is insulated, and the bottom

surface is maintained at a uniform

temperature of $180\backslash$deg C$.$ The entire top surface is subjected to convection with ambient air

at T$\_(\backslash$infty $)=30\backslash$deg C with a heat transfer coefficient of h$=55($W$)/($m$^(2))*$K$,$ and the left surface

is subjected to heat flux at a uniform rate of q$\_($L$)^()=8000($W$)/($m$^(2)).$ The nodal network of the

problem consists of $13$ equally spaced nodes with $\backslash$Delta x$=\backslash$Delta y$=1\mathrm{.}5$cm$.$ Five of the nodes

are at the bottom surface and thus their temperature are konwn. $($a$)$ Obtain the finite

difference equations at the remaining eight nodes and $($b$)$ determine the nodal

temperatures by solving those equations using Gauss Seidel iteration technique. Write

your own code using any computer language and run it on MATLAB platform.

Solve the problem in Q$3$ using the graphical method, flux$-$plotting.

want to Qle Ploare