LAUSR

Abstract 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 3 μ m ≤ L ≤ 70 μ m and 10 n m ≤ d ≤ 40 n m . It can be observed that when length and diameter of CNT's are 50 μ m × 25 n m , the calculated value of Yamada and Ota model is greater than that of Xue and H C (Hamilton and Crosser) model.