Model based study of SWCNT and MWCNT thermal conductivities effect on the heat transfer due to the oscillating wall conditions

In this study, different proposed theoretical models for the thermal conductivity of Carbon nanotubes are analyzed. Both SWCNT and MWCNT are discussed in three type of base fluids namely ethylene glycol, engine oil and water. By using the fundamental governing laws and their modifications for the presence of solid concentrations are used to mathematically model the differential equations. The complicated coupled system of differential equations are transformed into non-dimensional form via a suitable similarity transformation. Then numerical results have been obtained by using the midpoint method with Richardson extrapolation enhancement. The numerical results can be computed when the length “L” and diameter “d” of CNT's are 3μm≤L≤70μm and 10nm≤d≤40nm. It can be observed that when length and diameter of CNT's are 50μm×25nm, the calculated value of Yamada and Ota model is greater than that of Xue and HC (Hamilton and Crosser) model.