scholarly journals A study on entropy generation on thin film flow over an unsteady stretching sheet under the influence of magnetic field, thermocapillarity, thermal radiation and internal heat generation/absorption

2017 ◽  
Vol 2017 ◽  
pp. 141-156 ◽  
Author(s):  
G. Sarojamma ◽  
K. Vajravelu ◽  
K. Sreelakshmi
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Thermal Radiation ◽  
Entropy Generation ◽  
Heat Generation ◽  
Stretching Sheet ◽  
Film Flow ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Thin Film Flow

scholarly journals Entropy Generation on Nanofluid Thin Film Flow of Eyring–Powell Fluid with Thermal Radiation and MHD Effect on an Unsteady Porous Stretching Sheet

Entropy ◽  
2018 ◽  
Vol 20 (6) ◽  
pp. 412 ◽  
Author(s):  
Mohammad Ishaq ◽  
Gohar Ali ◽  
Zahir Shah ◽  
Saeed Islam ◽  
Sher Muhammad
Keyword(s):  
Thin Film ◽  
Thermal Radiation ◽  
Entropy Generation ◽  
Stretching Sheet ◽  
Film Flow ◽  
Thin Film Flow

scholarly journals Thin film flow over an unsteady stretching sheet with thermocapillarity in presence of magnetic field

2017 ◽  
Vol 21 (6 Part A) ◽  
pp. 2369-2378 ◽  
Author(s):  
Kalidas Das ◽  
Nilangshu Acharya ◽  
Prabir Kundu
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Stretching Sheet ◽  
Film Flow ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Transverse Magnetic ◽  
Integration Scheme ◽  
Thin Film Flow ◽  
Unsteady Stretching Sheet

An analysis is carried out to study the effects of thermocapillarity on thin film flow over an unsteady stretching sheet in presence of uniform transverse magnetic field and internal heat source/sink. Using a similarity transformation, the governing time dependent boundary-layer equations are reduced to a set of coupled ordinary differential equations and then solved numerically for some representative values of non-dimensional parameters using Nachtsheim and Swigert shooting iteration technique together with Runge-Kutta sixth-order integration scheme. It is observed that the thermocapillary action reduces the rate of heat transfer at the surface while dealing with conducting fluid in presence of magnetic field.

scholarly journals Viscoelastic MHD Nanofluid Thin Film Flow over an Unsteady Vertical Stretching Sheet with Entropy Generation

Processes ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 262 ◽  
Author(s):  
Asad Ullah ◽  
Zahir Shah ◽  
Poom Kumam ◽  
Muhammad Ayaz ◽  
Saeed Islam ◽  
...  
Keyword(s):  
Thin Film ◽  
Nusselt Number ◽  
Entropy Generation ◽  
Stretching Sheet ◽  
Film Flow ◽  
Analysis Method ◽  
Thin Film Flow ◽  
Nanofluid Flow ◽  
Boundary Layer Equations ◽  
Homotopy Analysis

The boundary-layer equations for mass and heat energy transfer with entropy generation are analyzed for the two-dimensional viscoelastic second-grade nanofluid thin film flow in the presence of a uniform magnetic field (MHD) over a vertical stretching sheet. Different factors, such as the thermophoresis effect, Brownian motion, and concentration gradients, are considered in the nanofluid model. The basic time-dependent equations of the nanofluid flow are modeled and transformed to the ordinary differential equations system by using similarity variables. Then the reduced system of equations is treated with the Homotopy Analysis Method to achieve the desire goal. The convergence of the method is prescribed by a numerical survey. The results obtained are more efficient than the available results for the boundary-layer equations, which is the beauty of the Homotopy Analysis Method, and shows the consistency, reliability, and accuracy of our obtained results. The effects of various parameters, such as Nusselt number, skin friction, and Sherwood number, on nanoliquid film flow are examined. Tables are displayed for skin friction, Sherwood number, and Nusselt number, which analyze the sheet surface in interaction with the nanofluid flow and other informative characteristics regarding this flow of the nanofluids. The behavior of the local Nusselt number and the entropy generation is examined numerically with the variations in the non-dimensional numbers. These results are shown with the help of graphs and briefly explained in the discussion. An analytical exploration is described for the unsteadiness parameter on the thin film. The larger values of the unsteadiness parameter increase the velocity profile. The nanofluid film velocity shows decline due the increasing values of the magnetic parameter. Moreover, a survey on the physical embedded parameters is given by graphs and discussed in detail.

scholarly journals Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boundary Condition

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Solomon Bati Kejela ◽  
Mitiku Daba Firdi
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Boundary Condition ◽  
Thermal Radiation ◽  
Heat Generation ◽  
Vertical Plate ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Surface Boundary ◽  
Surface Boundary Condition

In this paper, the effects of magnetic field, thermal radiation, buoyancy force, and internal heat generation on the laminar boundary layer flow about a vertical plate in the presence of a convective surface boundary condition have been investigated. In the analysis, it is assumed that the left surface of the plate is in contact with a hot fluid, whereas a stream of cold fluid flows steadily over the right surface, and the heat source decays exponentially outwards from the surface of the plate. The governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations with the help of similarity transformation which were solved analytically by applying the optimal homotopy asymptotic method. The variations of fluid velocity and surface temperature for different values of the Grashof number, magnetic parameter, Prandtl number, internal heat generation parameter, Biot number, and radiation absorption parameter are tabulated, graphed, and interpreted in physical terms. A comparison with previously published results on similar special cases of the problem shows an excellent agreement.

Thin film flow of Casson liquid over a nonlinear stretching sheet in the presence of a uniform transverse magnetic field

2015 ◽  
Vol 93 (10) ◽  
pp. 1067-1075 ◽  
Author(s):  
S.K. Singh ◽  
B.S. Dandapat
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Stretching Sheet ◽  
Film Flow ◽  
Thin Liquid Film ◽  
Nonlinear Partial Differential Equation ◽  
Thin Film Flow ◽  
Kantorovich Method ◽  
Film Thinning ◽  
Nonlinear Stretching

Thin film flow of Casson liquid over a nonlinear stretching sheet is studied in the presence of a transverse uniform magnetic field. The evolution equation for the film thickness is derived using the long-wave approximation for thin liquid film and this nonlinear partial differential equation is solved numerically by using the Newton–Kantorovich method. Four different types of nonlinear stretching velocities are considered to study the effects of Casson parameter and Hartmann number on film thinning rate and the corresponding film thinning patterns are analyzed. It is observed that the Casson parameter exerts resistance on film thinning. Further it is also found that all types of stretching generate film thinning, but non-monotonic stretching provides faster thinning at small distances from the origin.

Sign in / Sign up

Export Citation Format

Share Document