Begell House Inc.
Heat Transfer Research
HTR
1064-2285
44
8
2013
SECOND-GRADE FLUID FLOW WITH POWER-LAW HEAT FLUX AND A HEAT SOURCE
687-702
10.1615/HeatTransRes.2012005716
Tasawar
Hayat
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science,
King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia
Sabir A.
Shehzad
Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus 57000,
Pakistan
Muhammad
Qasim
Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China; Department of Mathematics, COMSATS University Islamabad 45550, Park Road, Tarlai
Kalan, Islamabad 44000, Pakistan
Fuad Eid Salem
Alsaadi
Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
Ahmed
Alsaedi
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box. 80257,
Jeddah 21589, Saudi Arabia
Heat transfer
second grade fluid
power law heat flux
heat source
porous medium
The aim of the present paper is to discuss the flow and heat transfer in a second-grade fluid filling
a semi-infinite porous medium. The flow is induced by a permeable stretched surface in the
presence of a heat source. The surface is subjected to a power-law heat flux. The governing
problem is first modeled and then solved by employing the homotopy analysis method (HAM).
The influence of various parameters of interest have been examined by plotting graphs. Numerical
values of the local Nusselt number are also computed.
THERMAL RADIATION EFFECTS ON MHD FLOW OVER A STRETCHING CYLINDER IN A POROUS MEDIUM
703-718
10.1615/HeatTransRes.2013005990
Zaheer
Abbas
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
Abid
Majeed
Department of Mathematics and Statistics, International Islamic University Islamabad 44000, Pakistan
Tariq
Javed
Department of Mathematics and Statistics, Faculty of Basic and Applied Science, International
Islamic University, Islamabad 44000, Pakistan
viscous fluid
MHD flow
porous medium
stretching cylinder
thermal radiation
This paper deals with the laminar MHD flow and heat transfer of an electrically conducting viscous fluid over a stretching cylinder in the presence of thermal radiation through a porous medium. The governing nonlinear partial differential equations are transformed into a system of
nonlinear ordinary differential equations by employing similarity transformations. This system is then solved numerically using the Keller box method and analytically using the perturbation method. The influence of various involved parameters on the velocity and temperature distributions is discussed through graphs and tables. A comparison of the present results with the existing
ones is given by taking the combined parameter λ = M and k0 → 1, which was found to be in good agreement.
OHAM SOLUTION FOR THIN FILM FLOW OF THIRD-GRADE FLUID THROUGH POROUS MEDIUM OVER AN INCLINED PLANE
719-731
10.1615/HeatTransRes.2013006723
Nargis
Khan
Department of Mathematics, The Islamia University of Bahawalpur, Pakistan
Tahir
Mahmood
Department of Mathematics, The Islamia University of Bahawalpur, Pakistan
Muhammad Sadiq
Hashmi
Department of Computer Science, COMSATS Institute of Information Technology, Sahiwal, Pakistan
porous medium
inclined plane
optimal homotopy asymptotic method
We investigate steady thin film flow of an incompressible third-grade fluid through a porous medium on an inclined plane. The equations of flow through the porous medium are nonlinear and are solved for the velocity field using an analytical method, namely, the optimal homotopy asymptotic
method (OHAM). The results obtained by OHAM are compared with the exact solution and a close agreement was found. Finally the graphs are plotted to discuss the effect of
different parameters.
ADIABATIC SPRAY ABSORPTION PROCESS IN AN AQUEOUS AMMONIA SOLUTION
733-743
10.1615/HeatTransRes.2013005214
Fengmin
Su
Marine Engineering College, Dalian Maritime University, 1# Linghai Road, Dalian 116026, China
Yangbo
Deng
Institute of Marine Engineering and Thermal Science, Dalian Maritime University, Dalian, 116026, China
Hongbin
Ma
Marine Engineering College, Dalian Maritime University, Dalian, Liaoning 116026 China; Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, Missouri, 65211, USA
absorption refrigeration
adiabatic spray absorption
model
ammonia
Heat and mass transfer of the adiabatic spray absorption process in an aqueous ammonia solution is studied by an improved analytical Newman model. The results show that the maximum absorption time, tmax, is proportional to the square of the droplet radius and the reciprocal of the effective diffusivity, respectively. Decreasing droplet radius or increasing effective diffusivity of ammonia solution can improve the absorbtion rate. Increasing the absorbtion time can increase the absorption mass, MA, but increasing the absorption time will not significantly improve MA after t0/tmax exceeds 0.6. This investigation offers a better understanding of the absorption process occurring in thermally driven absorption refrigeration systems.
NONEQUILIBRIUM CONDENSATION AND THERMALLY CHOKED FLOW IN A SHOCK TUBE
745-760
10.1615/HeatTransRes.2013006320
Jiaquan
Zhao
Department of Chemical Machinery, Dalian University of Technology, Dalian 116024, China
Peiqi
Liu
Department of Chemical Machinery, Dalian University of Technology, Dalian 116024, China
Fengxia
Liu
Department of Chemical Machinery, Dalian University of Technology, Dalian 116024, China
Jinji
Gao
China Special Equipment Inspection and Research Institute, Beijin University of Chemical Technology, Beijin, China
Dapeng
Hu
Department of Chemical Machinery, Dalian University of Technology Dalian 116024, China
nonequilibrium
condensation
unsteady state
shock tube
thermal choking
An explicit equation for the addition of critical heat to 1D compressible unsteady condensation flows inside a shock tube has been derived. The equation is of general validity and can be applied to vapor flow with or without a carrier gas. The results obtained show that the critical quantity of heat in an internal heat flow was larger due to phase transition than the external heat flow. When the flow is thermally choked, a shock wave is generated and propagates upstream. The reason for the onset of condensation is explained. It is inconsistent with the location of local static pressure which begins to rise in a shock tube with unsteady condensation flow. In addition, two types of condensation flow in a shock tube are simulated: the subcritical heat flow and the supercritical heat flow. Quantitative validation of the numerical model was made. The results showed good agreement between the values of numerical simulation and theoretical analysis.
OPTIMUM DESIGN OF GASKET PLATE HEAT EXCHANGER USING MULTIMODAL GENETIC ALGORITHM
761-789
10.1615/HeatTransRes.2013006366
Farzaneh
Hajabdollahi
Mechanical Engineering Department, Ferdowsi University of Mashhad, Mashhad, Iran
Zahra
Hajabdollahi
Mechanical Engineering Department, Shahid Bahonar University of Kerman, Kerman, Iran
Hassan
Hajabdollahi
Mechanical Engineering Department, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
gasket plate heat exchanger
effectiveness
total annual cost
objective function
multiobjective optimization
NSGAâ€II
Thermal modeling and optimal design of a gasket plate heat exchanger are presented in this paper. The method is applied to estimate the heat exchanger pressure drop and the effectiveness of chevron plates. Corrugation angle, amplitude, and wavelength of chevron corrugation, plate
width, plate length, and the number of plates are considered as six design parameters. The Fast and Elitist Nonâ€Dominated Sorting Genetic Algorithm (NSGAâ€II) is applied to obtain the maximum effectiveness and the minimum total annual cost (sum of investment and operation costs) as two objective functions. The results of optimal designs are a set of multiple optimum solutions called "Pareto optimal solutions". The sensitivity analysis of change in optimum effectiveness and total annual cost with change in design parameters of the gasket plate heat exchanger is also performed and the results are reported. It is also investigated that effectiveness is proportional to the nondimensional parameter of corrugation amplitude to wavelength in the optimum
situation.