Begell House Inc.
Heat Transfer Research
HTR
1064-2285
45
7
2014
FREE CONVECTION FLOW OF A SECOND-GRADE FLUID WITH RAMPED WALL TEMPERATURE
579-588
Samiulhaq
Department of Mathematics, City University of Science and Information Technology, Dalazak Road, Peshawar, Pakistan; Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Malaysia
Ilyas
Khan
Ton Duc Thang University
Farhad
Ali
City University of Science and Information Technology, Peshawar
Sharidan
Shafie
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia
81310 UTM Johor Bahru, Johor, Malaysia
In this paper, exact solutions for free convection flow of a second-grade fluid with ramped wall temperature are obtained using the Laplace transform technique. The effects of pertinent flow parameters on velocity and skin friction are studied with the aid of various graphs. It is found that with an increasing second-grade parameter, the fluid velocity decreases for both ramped and isothermal wall temperatures and the skin friction increases. However, the magnitude of velocity in the case of the ramped temperature is quite smaller than the isothermal temperature for increasing values of the second-grade parameter.
SORET AND DUFOUR EFFECTS ON THE PERISTALTIC TRANSPORT OF A THIRD-ORDER FLUID
589-602
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
Fahad M.
Abbasi
Department of Mathematics, COMSATS, Institute of Information Technology, Islamabad, Pakistan
Mohammed S.
Alhuthali
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia
B.
Ahmad
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science,
King Abdulaziz University, Jeddah 21589, Saudi Arabia
G. O.
Chen
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia; College of Engineering, Peking University, Beijing, China
The Soret and Dufour effects on the peristaltic transport of a third-order fluid in a symmetric channel are described. The Joule heating effect is also taken into account. The governing nonlinear problem is solved using a perturbation approach. Graphical results are presented and discussed for various parameters of interest entering into the problem.
SEMI-ANALYTICAL SOLUTIONS OF NONLINEAR PROBLEMS OF THE DEFORMATION OF BEAMS AND OF THE PLATE DEFLECTION THEORY USING THE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD
603-620
A.
Javed
Center for Advance Studies in Engineering (CASE), 19-Attaturk Avenue, G-5/1, Islamabad, Pakistan
Shaukat
Iqbal
Department of Computer Science, COMSATS Institute of Information Technology, Sahiwal, Pakistan
Muhammad Sadiq
Hashmi
Department of Computer Science, COMSATS Institute of Information Technology, Sahiwal, Pakistan
Amir H.
Dar
Department of Electrical Engineering, COMSATS Institute of Information Technology, Islamabad, Pakistan
Nargis
Khan
Department of Mathematics, The Islamia University of Bahawalpur, Pakistan
The effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) is tested for nonlinear fourth-order boundary-value problems associated with the deformation of beams, with the plate deflection theory, and viscoelastic and inelastic flows. Exact solutions are in complete agreement with the results of OHAM. The results demonstrate that the method is quite efficient, effective, implicit, and easy to implement.
AN ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION IN A SLAB WITH NONHOMOGENEOUS BOUNDARY CONDITIONS USING THE SUPERPOSITION TECHNIQUE AND SOLUTION STRUCTURE THEOREM
621-641
M.
Akbari
Department of Mechanical Engineering, Semnan University, Semnan, Iran
Seyfolah
Saedodin
Department of Mechanical Engineering, Semnan University, Semnan, Iran
Davood Semiromi
Toghraie
Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University,
Khomeinishahr, Iran
Farshad
Kowsary
Department of Mechanical Engineering, University College of Engineering, University of Tehran, Tehran 515-14395, Iran
Non-Fourier heat conduction in a slab with nonhomogeneous boundary conditions is investigated analytically. In this research, the solution structure theorems, along with the superposition technique, are applied to obtain a closed-form solution of the hyperbolic heat conduction (HHC) equation using fundamental mathematics. In this solution, a complicated problem is split into multiple simpler problems which in turn can be combined to obtain a solution to the original problem. The original problem is divided into five subproblems by setting the heat generation term, initial conditions, and the boundary conditions to different values in each subproblem. The methodology provides a convenient and accurate solution to the HHC equation, which is applicable to a variety of HHC analyses for various engineering applications. The results obtained show that the temperature will start retreating at approximately t = 1.05 and at t > 1.04 the temperature at the left boundary decreases leading to a decrease in the temperature in the domain. Also, the shape of profiles remains nearly the same after t = 1.5.
ROBUST MODEL FOR PREDICTING THE AVERAGE FILM COOLING HEAT TRANSFER COEFFICIENT OVER A TURBINE BLADE BASED ON THE FINITE VOLUME STUDY
643-657
M.
Payandehdoost
Mechanical Engineering Department, Faculty of Engineering, University of Guilan, Rasht 3756, Iran
Nima
Amanifard
Mechanical Engineering Department, Faculty of Engineering, University of Guilan, Rasht, Iran
M.
Naghashnejad
Mechanical Engineering Department, Faculty of Engineering, University of Guilan, Rasht 3756, Iran
H. M.
Deylami
Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar, Iran
In this paper, a 2D numerical approach was implemented to analyze the effect of parameters on the compressible turbulent film cooling performed by slot injection over a VKI rotor blade. In this connection, the flow and thermal fields were evaluated using the blowing ratio, total temperature of a coolant jet, injection angle, and the location of injection slots on the blade surface. The computational domain with a hybrid mesh system could provide the required foundations for using the realizable k−ε turbulence model as well as the SIMPLE algorithm. Finally, the group method of data handling (GMDH)-type neural networks which were optimized by the genetic algorithms have been successfully used to present separate polynomial relations for the area-weighted average film cooling heat transfer coefficient. The effective geometrical and flow parameters were separately involved on the pressure and suction sides of the film cooled blade. The achieved polynomials demonstrate the remarkable reliability of modeling in prediction of the film cooling heat transfer coefficient in terms of minimum training and prediction errors.
MHD MIXED CONVECTION FLOW OF THIXOTROPIC FLUID WITH THERMAL RADIATION
569-676
Sabir A.
Shehzad
Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, 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
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
S. J.
Monaquel
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
In this investigation, we discuss the mixed convection flow of magnetohydrodynamic (MHD) thixotropic fluid over a linear stretching surface. Heat transfer is analyzed in the presence of thermal radiation and ohmic heating. The surface is subjected to a prescribed heat flux. Appropriate transformations are employed to reduce the partial differential systems into the ordinary differential systems. Homotopic procedure is implemented to obtain the series solutions for the resulting nonlinear flow systems. Plots are presented and discussed. Numerical values of the skin-friction coefficient and local Nusselt number are constructed and analyzed.
NUMERICAL SIMULATION OF MIXED CONVECTION IN A SiO2/WATER NANOFLUID IN A TWO−SIDED LID-DRIVEN SQUARE ENCLOSURE WITH SINUSOIDAL BOUNDARY CONDITIONS ON THE WALL
677-700
Mohammad
Hemmat Esfe
Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
Seyed Sadegh Mirtalebi
Esforjani
Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Isfahan, Iran
Mohammad
Akbari
Department of Mechanical Engineering, Semnan University, Semnan, Iran
Mohammad Hadi
Hajmohammad
Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Isfahan, Iran
To investigate mixed convection flows through a nanofluid in a square double lid-driven cavity with various inclination angles and sinusoidal heating on the left wall, a numerical method based on the finite volume approach is applied. In this work, a SiO2−water nanofluid was used. The cavity is nonuniformly heated from the left, Th, and cooled from the opposite wall. The top and the bottom moving walls were supposed to be insulated. The study was performed at the Richardson number from 0.1 to 10, Reynolds number from 1 to 100, and the solid volume fraction of nanoparticles φ altereing from 0 to 0.06. The effects of variations of Richardson and Reynolds number, angle of inclination, and solid volume fraction of nanoparticles on the hydrodynamic and thermal characteristics have been studied and discussed. As a result, it was found that the increases heat transfer rate with the solid volume fraction for a particular Re. The heat transfer rate also increases with the Richardson and Reynolds numbers for a particular volume fraction. The problem of mixed convection flows through a nanofluid in a square double lid-driven cavity with various inclination angles and sinusoidal temperature profiles on the left wall has not been reported so far. The effects of an increase in the shear force or buoyancy force, with another force kept constant, on heat transfer enhancement are studied.