Insight into the Boundary Layer Flows of Free Convection and Heat Transfer of Nanofluids over a Vertical Plate using Multi-Step Differential Transformation Method
نویسندگان
چکیده مقاله:
This paper presents an insight into the boundary layer of free convection and heat transfer of nanofluids over a vertical plate at very low and high Prandtl number. Suitable similarity variables are used to convert the governing systems of nonlinear partial differential equations of the flow and heat transfer to systems of nonlinear ordinary differential equations which are solved using multi-step differential transformation method. The approximate analytical solutions are verified with numerical solutions. From the parametric studies, it is observed that the velocity and temperature of the nanofluid decreases and increases, respectively as the Prandtl number and volume-fraction of the nanoparticles in the base fluid increase. Also, the decrease in velocity and increase in temperature are highest in lamina shaped nanoparticle followed by platelets, cylinder, bricks and sphere shaped nanoparticles, respectively. Using a common base fluid to all the nanoparticle type, it is observed that the decrease in velocity and increase in temperature are highest TiO2 followed by CuO, Al2O3 and SWCNTs nanoparticles, in that order. The present study will enhance the understanding of free convection boundary-layer problems.
منابع مشابه
Free Convection Flow and Heat Transfer of Nanofluids of Different Shapes of Nano-Sized Particles over a Vertical Plate at Low and High Prandtl Numbers
In this paper, free convection flow and heat transfer of nanofluids of differently-shaped nano-sized particles over a vertical plate at very low and high Prandtl numbers are analyzed. The governing systems of nonlinear partial differential equations of the flow and heat transfer processes are converted to systems of nonlinear ordinary differential equation through similarity transformations. T...
متن کاملFluid Flow and Heat Transfer of Nanofluids over a Flat Plate with Conjugate Heat Transfer
The falling and settling of solid particles in gases and liquids is a natural phenomenon happens in many industrial processes. This phenomenon has altered pure forced convection to a combination of heat conduction and heat convection in a flow over a plate. In this paper, the coupling of conduction (inside the plate) and forced convection of a non-homogeneous nanofluid flow (over a flat plate) ...
متن کاملEffect of magnetic field on the boundary layer flow, heat, and mass transfer of nanofluids over a stretching cylinder
The effect of a transverse magnetic field on the boundary layer flow and heat transfer of anisothermal stretching cylinder is analyzed. The governing partial differential equations for themagnetohydrodynamic, temperature, and concentration boundary layers are transformed into a setof ordinary differential equations using similarity transformations. The obtained ordinarydifferential equations ar...
متن کاملMagnetohydrodynamic Free Convection Flows with Thermal Memory over a Moving Vertical Plate in Porous Medium
The unsteady hydro-magnetic free convection flow with heat transfer of a linearly viscous, incompressible, electrically conducting fluid near a moving vertical plate with the constant heat is investigated. The flow domain is the porous half-space and a magnetic field of a variable direction is applied. The Caputo time-fractional derivative is employed in order to introduce a thermal flux consti...
متن کاملBoundary layer Viscous Flow of Nanofluids and Heat Transfer Over a Nonlinearly Isothermal Stretching Sheet in the Presence of Heat Generation/Absorption and Slip Boundary Conditions
The steady two-dimensional flow of a viscous nanofluid of magnetohydrodynamic (MHD) flow and heattransfer characteristics for the boundary layer flow over a nonlinear stretching sheet is considered. Theflow is caused by a nonlinear stretching sheet with effects of velocity, temperature and concentrationslips. Problem formulation is developed in the pre...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 20 شماره 1
صفحات 5- 45
تاریخ انتشار 2019-03-01
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023