TY - JOUR
T1 - Nanofluid thin film flow and heat transfer over an unsteady stretching elastic sheet by LSM
AU - Fakour, Mehdi
AU - Rahbari, Alireza
AU - Khodabandeh, Erfan
AU - Ganji, Davood Domiri
N1 - Publisher Copyright:
© 2018, The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - This study is carried out on the unsteady flow and heat transfer of a nanofluid in a stretching flat plate. Least square method is implemented for solving the governing equations. It also attempts to demonstrate the accuracy of the aforementioned method compared with a numerical one, Runge-Kutta fourth order. Furthermore, the impact of some physical parameters like unsteadiness parameter (S), Prandtl number (Pr) and the nanoparticles volume fraction (ϕ) on the temperature and velocity profiles is scrutinized carefully. Accordingly, the results obtained from this study reveal that the temperature enhances by means of augmenting the nanoparticles volume fraction. At η ∈ {0, 0.5}, the velocity decreases as a result of a rise in nanoparticles volume fraction and at η ∈ {0.5, 1}, an opposite treatment takes place. Moreover, velocity distribution augments by raising the S value, however an inverse trend is observed in temperature values. Moreover, the local skin friction coefficient indicated a notable rise by increasing the S parameter as well as a steady decrease by rising ϕ. Finally, water-Alumina nanofluid demonstrated better heat transfer enhancement compared to other types of nanofluids.
AB - This study is carried out on the unsteady flow and heat transfer of a nanofluid in a stretching flat plate. Least square method is implemented for solving the governing equations. It also attempts to demonstrate the accuracy of the aforementioned method compared with a numerical one, Runge-Kutta fourth order. Furthermore, the impact of some physical parameters like unsteadiness parameter (S), Prandtl number (Pr) and the nanoparticles volume fraction (ϕ) on the temperature and velocity profiles is scrutinized carefully. Accordingly, the results obtained from this study reveal that the temperature enhances by means of augmenting the nanoparticles volume fraction. At η ∈ {0, 0.5}, the velocity decreases as a result of a rise in nanoparticles volume fraction and at η ∈ {0.5, 1}, an opposite treatment takes place. Moreover, velocity distribution augments by raising the S value, however an inverse trend is observed in temperature values. Moreover, the local skin friction coefficient indicated a notable rise by increasing the S parameter as well as a steady decrease by rising ϕ. Finally, water-Alumina nanofluid demonstrated better heat transfer enhancement compared to other types of nanofluids.
KW - Least square method (LSM)
KW - Nanofluid volume fraction
KW - Thin film nanofluid
KW - Unsteady stretching elastic sheet
UR - http://www.scopus.com/inward/record.url?scp=85040831335&partnerID=8YFLogxK
U2 - 10.1007/s12206-017-1219-5
DO - 10.1007/s12206-017-1219-5
M3 - Article
SN - 1738-494X
VL - 32
SP - 177
EP - 183
JO - Journal of Mechanical Science and Technology
JF - Journal of Mechanical Science and Technology
IS - 1
ER -