Mixed convection (laminar) over hot chips in a long rectangular channel
Physical problem:
Two electronic chips are mounted in a channel as shown in the figure below. The channel walls are thermally insulated, while the chips operate at constant temperature. To maintain the constant temperature of the chip, cold air (Pr =0.7) flows through the channel providing mixed convective cooling.
Two electronic chips are mounted in a channel as shown in the figure below. The channel walls are thermally insulated, while the chips operate at constant temperature. To maintain the constant temperature of the chip, cold air (Pr =0.7) flows through the channel providing mixed convective cooling.
Task
To compute the velocity and temperature field for 2-D, laminar, flow through the channel.
Assumptions
● Both chips remain at constant temperature.
● Top and bottom walls are insulated, and impermeable.
● Flow is incompressible, two-dimensional and laminar (newtonian).
To compute the velocity and temperature field for 2-D, laminar, flow through the channel.
Assumptions
● Both chips remain at constant temperature.
● Top and bottom walls are insulated, and impermeable.
● Flow is incompressible, two-dimensional and laminar (newtonian).
The videos below can be downloaded from links below.
Re = 0.1, Gr = 100 ( 0.9 MB )
Re = 10, Gr = 1000 ( 0.7 MB )
Notations:
Re: Reynold's number
Gr: Grashoff's number
Re = 0.1, Gr = 100 ( 0.9 MB )
Re = 10, Gr = 1000 ( 0.7 MB )
Notations:
Re: Reynold's number
Gr: Grashoff's number
Method used
● Non-dimensionalization of the equations,
● Stream function-vorticity approach,
● Gauss Seidel algorithm as the numerical solver
Results and discussion