Magnetic Field Effect on Nanofluid Heat Transfer (MHD)
In this project, nanofluid flows in a solid aluminum channel in presence of an applied magnetic field.
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In this project, nanofluid flows in a solid aluminum channel in presence of an applied magnetic field. Fluid flow is steady and is simulated as one single phase flow, however thermophysical properties of nanofluid are calculated using below formulas. Surface average of nanofluid’s temperature is equal to 293.2 and 304.175K at inlet and outlet, respectively.
where are density, viscosity, specific heat, and thermal conductivity coefficient of nano-fluid and volume fraction of nano-particles in fluid.
Geometry and mesh
Geometry of fluid domain is designed in Design modeler and computational grid is generated using Ansys meshing. Mesh type is unstructured and element number is 26000.
- Solver type is assumed Pressure Based.
- Time formulation is assumed Steady.
- Gravity effects is neglected.
The following table a summary of the defining steps of the problem and its solution.
|Viscous||K-epsilon (standard)||Standard wall function|
|MHD model||MHD method||Magnetic induction|
|Solution control||Solve MHD equation (on)|
|Include Lorentz force (on)|
|Include Joule heating (on)|
|Under relaxation (0.9)|
|Boundary condition||Solid outer wall (insulating wall)|
|Fluid-solid interface (coupled wall)|
|External field B0||B0 input option (patch)|
|B0 component||Bx amplitude (1T)|
|By amplitude (0T)|
|By amplitude (1T)|
|Fluid||Definition method||Fluent Database|
|Material name||Nano+fluid (based on water, with modification)|
|Specific heat (Cp)||3248 J/kg.K|
|Thermal conductivity||1.09387 w/m.K|
|Electrical conductivity||1000000 siemens/m|
|Solid||Definition method||Fluent Database|
|Material name||Al (based on Aluminum with modification)|
|Specific heat (Cp)||871 J/kg.K|
|Thermal conductivity||202.4 w/m.K|
|Electrical conductivity||3.541e7 siemens/m|
Cell zone conditions
|Source terms||Mass (0)|
|X momentum (1)|
|Y momentum (1)|
|Z momentum (1)|
|Turbulent kinetic energy (0)|
|Turbulent dissipation rate (0)|
|Source terms||Energy (2)
1. UDF MHD energy source
2. 1000000 w/m3
|Velocity magnitude||1 m/s|
|Turbulent viscosity ratio||10|
|Outer Wall solid||Temperature||320 K|
|Spatial discretization||Gradient||Least square cell-based|
|Momentum||Second order Upwind|
|Turbulent kinetic energy||First order upwind|
|Turbulent dissipation rate||First order upwind|
|Energy||Second order Upwind|
|B_x||First order upwind|
|B_y||First order upwind|
|B_z||First order upwind|
|Initialization||X velocity||1 m/s|
Results and discussion
Nano-fluid flow average temperature at inlet and out location is 293.2 and 304.175K respectively. In case of no magnetic field affecting the nano-fluid, temperature at outlet decreases to 303.74K. Heat flux to nanofluid is equal to 112102.2 w/m2.
Comparison between outlet temperature of nano-fluid in presence and absence of magnetic field, reveals the effectiveness of magnetic field application in present work. Magnetic field application increases outlet temperature by 1K and heat transfer to nano-fluid by 200w/m2.
There is a mesh file in this product. By the way, the Training File presents how to solve the problem and extract all desired results.