Parametric Study on Skin Friction Coefficient and Wall Shear Stress of Titania/Water Nanofluids Flowing over a Horizontal Flat Plate

Sayantan Mukherjee*, Purna Chandra Mishra**, Himangshu Bhattacharjee***
* Assistant Professor, Department of Mechanical Engineering, St. Mary's Technical Campus Kolkata, West Bengal, India.
** Associate Professor and Dean, School of Mechanical Engineering, KIIT University, Bhubaneswar, Odisha, India.
*** Assistant Professor, Department of Mathematics, St. Mary's Technical Campus Kolkata, West Bengal, India.
Periodicity:August - October'2016
DOI : https://doi.org/10.26634/jme.6.4.8290

Abstract

A parametric study of the skin friction coefficient and drag force of Titania/water nanofluid flow over an isothermal flat plate at stationary condition is conducted. With the help of similarity analysis, the governing equations of continuity and momentum are reduced into nonlinear differential equations which are subsequently solved numerically using a shooting method in Engineering Equation Solver (EES) software. The effect of volume fraction on the different flow parameters is evaluated. The numerical results show that density and dynamic viscosity increase with increase in particle volume fraction of nanoparticles. The thickness of hydrodynamic boundary layer reduced with an increase in nanoparticle volume fraction in base fluid. Skin friction coefficient and wall shear stress increase in magnitude with the inclusion of nanoparticles in base fluid but decrease along the direction of flow. The results are displayed graphically and they contribute to understanding the interesting aspects of nanofluids.

Keywords

Nanofluid, Volume Fraction, Skin Friction Coefficient, Wall Shear Stress, Flat Plate, Boundary Layer, EES.

How to Cite this Article?

Mukherjee, S., Mishra, P. C., and Bhattacharjee, H. (2016). Parametric Study on Skin Friction Coefficient and Wall Shear Stress of Titania/Water Nanofluids Flowing over a Horizontal Flat Plate. i-manager’s Journal on Mechanical Engineering, 6(4), 1-6. https://doi.org/10.26634/jme.6.4.8290

References

[1]. M. Ali, F. Al-Yousef, (1998). “Laminar mixed convection from a continuously moving vertical surface with suction or injection”. Heat and Mass Transfer, Vol.33, No.4, pp.301- 306. Retrieved from http://dx.doi.org/10.1007/ s002310050193
[2]. C.-H. Chen, (1999). “Forced convection over a continuous sheet with suction or injection moving in a flowing fluid”. Acta Mechanica, Vol.138, No.1, pp.1-11. Retrieved from http://dx.doi.org/10.1007/BF01179537
[3]. SUS Choi, (1995). “Enhancing thermal conductivity of fluids with nanoparticles”. ASME-Publications-Fed, Vol.231, pp.99-106.
[4]. SP Anjali Devi, and Julie Andrews, (2011). “Laminar boundary layer flow of nanofluid over a flat plate”. International Journal of Appl. Math and Mech., Vol.7, No.6, pp.52-71.
[5]. F.K. Tsou, E.M. Sparrow, and R.J. Goldstein, (1967). “Flow and heat transfer in the boundary layer on a continuous moving surface”. International Journal of Heat and Mass Transfer, Vol.10, No.2, pp.219 - 235. Retrieved from http://www.sciencedirect.com/science/article/pii/ 0017931067901007
[6]. Khalil Khanafer, and Kambiz Vafai, (2011). “A critical synthesis of thermophysical characteristics of nanofluids”. International Journal of Heat and Mass Transfer, Vol.54, No.19, pp.4410-4428.
[7]. SA Klein, (2006). Engineering Equation Solver (EES) for Microsoft Windows Operating Systems. Commercial and Professional Version. F: Chart Software, Madison, Wisconsin.
[8]. M. Kumari, and G. Nath, (1996). “Boundary layer development on a continuous moving surface with a parallel free stream due to impulsive motion”. Heat and Mass Transfer, Vol.31, No.4, pp.283-289. Retrieved from http://dx.doi.org/10.1007/BF02328621
[9]. M. Hatami, R. Nouri, and D.D. Ganji, (2013). “Forced convection analysis for {MHD} Al O –water nanofluid flow 2 3 over a horizontal plate”. Journal of Molecular Liquids, Vol. 187, pp. 294-301. Retrieved from http://www.sciencedirect.com/science/article/pii/ S0167732213002717
[10]. M.A.A. Hamad, I. Pop, and A.I. Md Ismail, (2011). “Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate”. Nonlinear Analysis: Real World Applications, Vol.12, No.3, pp.1338- 1346. Retrieved from http://www.sciencedirect.com/ science/article/pii/S1468121810002452
[11]. M.M. Molla, and L.S. Yao, (2009). “Mixed convection of non-Newtonian fluids along a heated vertical flat plate”. International Journal of Heat and Mass Transfer, Vol.52, pp. 3266-3271. Retrieved from http://www.sciencedirect.com/science/article/pii/ S0017931009000957
[12]. IM Mahbubul, R Saidur, and MA Amalina, (2012). “Latest developments on the viscosity of nanofluids”. International Journal of Heat and Mass Transfer, Vol.55, No.4, pp.874-885.
[13]. Syahira Mansur, and Anuar Ishak, (2013a). “Blasius flow for a copper-water nanofluid with a convective boundary condition”. AIP Conference Proceedings, Vol.1522, No.1, pp.583-589. Retrieved from http://scitation. aip.org/content/aip/proceeding/aipcp/10.1063/1.480117 7
[15]. Nor Azizah Yacob, Anuar Ishak, and Ioan Pop, (2011). “Falknere Skan problem for a static or moving wedge in nanofluids”. International Journal of Thermal Sciences, Vol.50, No.2, pp.133 - 139. Retrieved from http://www.sciencedirect.com/science/article/pii/ S1290072910002863
[16]. Norfifah Bachok, Anuar Ishak, and Ioan Pop, (2010). “Boundary-layer flow of nanofluids over a moving surface in a flowing fluid”. International Journal of Thermal Sciences, Vol. 49, No. 9, pp. 1663-1668. Retrieved from http://www.sciencedirect.com/science/article/pii/ S1290072910000517
[17]. Robert A. Van Gorder, Erik Sweet, and K. Vajravelu, (2010). “Nano boundary layers over stretching surfaces”. Communications in Nonlinear Science and Numerical Simulation, Vol.15, No.6, pp.1494-1500. Retrieved from http://www.sciencedirect.com/science/article/pii/S100757 0409003463
[18]. B. C. Sakiadis, (1961). “Boundary-layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface”. AIChE Journal, Vol.7, No.2, pp.221-225. Retrieved from http://dx.doi.org/10.1002/ aic.690070211
[19]. T. Grosan, and I. Pop, (2011). “Axisymmetric mixed convection boundary layer flow past a vertical cylinder in a nanofluid”. International Journal of Heat and Mass Transfer, Vol.54, pp. 3139 - 3145. Retrieved from http://www.sciencedirect.com/ science/article/pii/S0017931011002353
[20]. W.A. Khan, and I. Pop, (2010). “Boundary-layer flow of a nanofluid past a stretching sheet”. International Journal of Heat and Mass Transfer, Vol.53, pp.2477-2483. Retrieved from http://www.sciencedirect.com/science/article/pii/ S001793101000044X
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Pdf 35 35 200 20
Online 35 35 200 15
Pdf & Online 35 35 400 25

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.