Flow Simulations Using Two Dimensional Thermal Lattice Boltzmann Method

<table>(a) Velocity profiles at various cross-sections predicted by LBM and FLUENT. (b) Velocity profile at <svg height="11.375" id="M93" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 69.525002 11.375" width="69.525002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><use xlink:href="#x1D44B"></use></g><g transform="matrix(.017,-0,0,-.017,18.234,11.112)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,32.938,11.112)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,41.097,11.112)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,44.973,11.112)"><path d="M447 623l8 -12l-283 -613l-74 -10l-7 11q174 283 297 551h-216q-48 0 -62.5 -12t-33.5 -63h-29q10 60 18 148h382z" id="x37"></path></g><g transform="matrix(.017,-0,0,-.017,53.133,11.112)"><use xlink:href="#x32"></use></g><g transform="matrix(.017,-0,0,-.017,61.292,11.112)"><path d="M153 550l-26 -186q79 31 111 31q90 0 141.5 -51t51.5 -119q0 -93 -89 -166q-85 -69 -173 -71q-32 0 -61.5 11.5t-41.5 23.5q-18 17 -17 34q2 16 22 33q14 9 26 -1q61 -50 124 -50q60 0 93 43.5t33 104.5q0 69 -41.5 110t-121.5 41q-53 0 -102 -20l38 305h286l6 -8
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</svg> predicted by LBM and FLUENT and the self-similar solution for the fully developed laminar channel flow.</table>

Journal of Applied Mathematics

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Figure 5

Figure 5: Flow Simulations Using Two Dimensional Thermal Lattice Boltzmann Method 