scholarly journals On rate type fluid flow induced by rectified sine pulses

2021 ◽  
Vol 7 (2) ◽  
pp. 1615-1627
Author(s):  
Kehong Zheng ◽  
◽  
Fuzhang Wang ◽  
Muhammad Kamran ◽  
Rewayat Khan ◽  
...  
Keyword(s):  
Flow Characteristics ◽  
Unsteady Motion ◽  
Second Grade ◽  
Engineering Mathematics ◽  
Parameter Ratio ◽  
Fourier Sine Transform ◽  
Grade Fluid ◽  
Side Walls ◽  
Rate Type ◽  
Mathematics And Physics

<abstract><p>This investigation aims to present the unsteady motion of second grade fluid in an oscillating duct induced by rectified sine pulses. Some of the most dominant means for solving problems in engineering, mathematics and physics are transform methods. The objective is to modify the domain of the present problem to a new domain which is easier for evaluation. Such modifications can be done by different ways, one such way is by using transforms. In present work Fourier sine transform and Laplace transform techniques are used. The solution thus obtained is in form of steady state, with combination of transient solution which fulfills all required initial and boundary conditions. The influence of various parameters of interest for both developing and retarding flows on the flow characteristics will also be sketched and discussed. Also, the problem is reduced to the flow model where side walls are absent by bringing the aspect ratio parameter (ratio of length to width) to zero.</p></abstract>

scholarly journals Unsteady Flows of a Generalized Fractional Burgers’ Fluid between Two Side Walls Perpendicular to a Plate

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Jianhong Kang ◽  
Yingke Liu ◽  
Tongqiang Xia
Keyword(s):  
Unsteady Flows ◽  
Maxwell Fluid ◽  
Second Grade ◽  
Burgers Fluid ◽  
Double Fourier Transform ◽  
Grade Fluid ◽  
Generalized Second Grade Fluid ◽  
Side Walls ◽  
Generalized Maxwell Fluid ◽  
Stokes Second Problem

The unsteady flows of a generalized fractional Burgers’ fluid between two side walls perpendicular to a plate are studied for the case of Rayleigh-Stokes’ first and second problems. Exact solutions of the velocity fields are derived in terms of the generalized Mittag-Leffler function by using the double Fourier transform and discrete Laplace transform of sequential fractional derivatives. The solution for Rayleigh-Stokes’ first problem is represented as the sum of the Newtonian solutions and the non-Newtonian contributions, based on which the solution for Rayleigh-Stokes’ second problem is constructed by the Duhamel’s principle. The solutions for generalized second-grade fluid, generalized Maxwell fluid, and generalized Oldroyd-B fluid performing the same motions appear as limiting cases of the present solutions. Furthermore, the influences of fractional parameters and material parameters on the unsteady flows are discussed by graphical illustrations.

Novel Investigation of Heat and Mass Transfer Under the Effects of Thermal Radiations

2021 ◽  
Vol 10 (2) ◽  
pp. 214-221
Author(s):  
Adnan ◽  
Umar Khan ◽  
Naveed Ahmed ◽  
Syed Tauseef Mohyud-Din
Keyword(s):  
Mass Transfer ◽  
Flow Characteristics ◽  
Second Grade ◽  
Mathematical Treatment ◽  
Medical Sciences ◽  
Analysis Technique ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Fluid Flow Characteristics

The investigation of the fluid flow characteristics between opening/narrowing channel attains much attention of the researchers and scientists. Such flows extensively used in the field of medical sciences and in different engineering fields. Therefore, keeping in mind the significance of the study, the heat and mass transport analysis of second grade fluid is conducted in radiative channel. The problem is formulated via similarity transform and then treated analytically by using Homotopy Analysis technique. After mathematical treatment, the role of various flow quantities on the heat and thermal transport are detected under the domain of interest. It is noted that the temperature augmented against Dufour and Deborah parameters. Further, the rate of heat transfer intensifies for higher Prandtl and Eckert numbers. The decreasing trends in the mass transfer due to Schmidt and soret parameters are observed. Finally, a comparative literature is provided which authenticate the analysis under certain assumptions.

The impact of side walls on the MHD flow of a second-grade fluid through a porous medium

2016 ◽  
Vol 30 (4) ◽  
pp. 1103-1109 ◽  
Author(s):  
Sami Ul Haq ◽  
Ata ur Rahman ◽  
Ilyas Khan ◽  
Farhad Ali ◽  
Syed Inayat Ali Shah
Keyword(s):  
Porous Medium ◽  
Mhd Flow ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Side Walls ◽  
The Impact

Effects of Hall current on unsteady MHD flows of a second grade fluid

Open Physics ◽  
2010 ◽  
Vol 8 (3) ◽  
Author(s):  
Masud Ahmad ◽  
Haider Zaman ◽  
Naila Rehman
Keyword(s):  
Uniform Magnetic Field ◽  
Hall Current ◽  
Second Grade ◽  
Governing Equations ◽  
Second Grade Fluid ◽  
Sine Transform ◽  
Fourier Sine Transform ◽  
Transient Solutions ◽  
Grade Fluid ◽  
Limiting Case

AbstractThe aim of this present paper is to construct exact solutions corresponding to the motion of magnetohydrodynamic (MHD) fluid in the presence of Hall current, due to cosine and sine oscillations of a rigid plate as well as those induced by an oscillating pressure gradient. A uniform magnetic field is applied transversely to the flow. By using Fourier sine transform steady state and transient solutions are presented. These solutions satisfy the governing equations and all associated initial and boundary conditions. The results for a hydrodynamic second grade fluid can be obtained as a limiting case when B 0 → 0 and for a Newtonian fluid when α 1 → 0.

scholarly journals Concentric ballooned catheterization to the fractional non-newtonian hybrid nano blood flow through a stenosed aneurysmal artery with heat transfer

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Obaid Ullah Mehmood ◽  
Sehrish Bibi ◽  
Dzuliana F. Jamil ◽  
Salah Uddin ◽  
Rozaini Roslan ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Blood Flow ◽  
Fluid Model ◽  
Flow Characteristics ◽  
Second Grade ◽  
Governing Equations ◽  
Arterial Segment ◽  
Grade Fluid ◽  
Flow Through ◽  
The Impact

AbstractThe current work analyzes the effects of concentric ballooned catheterization and heat transfer on the hybrid nano blood flow through diseased arterial segment having both stenosis and aneurysm along its boundary. A fractional second-grade fluid model is considered which describes the non-Newtonian characteristics of the blood. Governing equations are linearized under mild stenosis and mild aneurysm assumptions. Precise articulations for various important flow characteristics such as heat transfer, hemodynamic velocity, wall shear stress, and resistance impedance are attained. Graphical portrayals for the impact of the significant parameters on the flow attributes have been devised. The streamlines of blood flow have been examined as well. The present finding is useful for drug conveyance system and biomedicines.

Unsteady flow of a second grade fluid between two side walls perpendicular to a plate

2008 ◽  
Vol 9 (3) ◽  
pp. 1236-1252 ◽  
Author(s):  
C. Fetecau ◽  
T. Hayat ◽  
Corina Fetecau ◽  
N. Ali
Keyword(s):  
Unsteady Flow ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Side Walls
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