Bioconvection of nanofluid flow in a thin moving needle in the presence of activation energy with surface temperature boundary conditions

2021 ◽  
pp. 095440892110539
Author(s):  
I Sadham Hussain ◽  
D Prakash ◽  
S Kumar ◽  
M Muthtamilselvan
Keyword(s):  
Heat Transfer ◽  
Activation Energy ◽  
Boundary Conditions ◽  
Surface Temperature ◽  
Heating Process ◽  
Newtonian Heating ◽  
Transform Method ◽  
Flow Equations ◽  
Flow And Heat Transfer ◽  
Differential Transform

A comparative analysis is formed to analyze the combined effects of a binary chemical reaction and activation energy in the flow of bio-nanofluid due to the thin moving needle using the mathematical nanofluid model offered by Buongiorno with different boundary conditions namely, Newtonian heating and prescribed surface temperature. The governing partial differential equations converted into a set of final controlled governing physical flow equations by using similarity variables and then solved numerically by Runge–Kutta–Fehlberg method along with shooting technique and analytically by differential transform method. The results gained for the dimensionless velocity, temperature, concentration, motile diffusivity number, Nusselt number and Sherwood number are presented through graphs and tables. The present study reveals that an enhancement in the pertinent parameters has considerably altered the physical characteristics of the flow and heat transfer, which applies in biosensors and biomedical instrumentation. Also, the rate of heat transfer from the needle to the fluid is controlled by applying Newtonian heating than by applying prescribed surface temperature against all the parameters. In addition, we carried out the statistical analysis to determine the dependence of the physical parameter on the rate of heat transfer for both cases of heating process.

scholarly journals Differential transform method for unsteady nanofluid flow and heat transfer

2018 ◽  
Vol 57 (3) ◽  
pp. 1867-1875 ◽  
Author(s):  
Muhammad Usman ◽  
Muhammad Hamid ◽  
Umar Khan ◽  
Syed Tauseef Mohyud Din ◽  
Muhammad Asad Iqbal ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Differential Transform Method ◽  
Nanofluid Flow ◽  
Transform Method ◽  
Flow And Heat Transfer ◽  
Differential Transform

Analysis of arrhenius activation energy and chemical reaction in nanofluid flow and heat transfer Over a thin moving needle

2021 ◽  
Vol 17 ◽  
Author(s):  
I Sadham Hussain ◽  
D Prakash ◽  
Bahaaeldin Abdalla ◽  
M Muthtamilselvan
Keyword(s):  
Activation Energy ◽  
Differential Equations ◽  
Chemical Reaction ◽  
Volume Fraction ◽  
Chemical Species ◽  
Transform Method ◽  
Analytical Technique ◽  
Flow And Heat Transfer ◽  
Differential Transform ◽  
Concentration Layer

Objective: A numerical and theoretical study is developed to analyze the combined effect of activation energy and chemical reaction in the flow of nanofluids due to the thin moving needle using the mathematical nanofluid model offered by Buongiorno. A passively controlled nanoparticle volume fraction boundary is assumed rather than actively controlled. Methods: A similarity transformation is utilized to convert the governing partial differential equations to a set of ordinary differential equations which are then solved numerically by Runge-Kutta Shooting Method (RKSM). The physical characteristics of flow, heat and mass transfer are illustrated via graphs and tables for some set of values of governing parameters. Results: In addition, the basic non-linear governing equations are solved analytically using semi-analytical technique called Differential transform method (DTM) and the comparison has been made with the numerical and the published results. Conclusion: The present study reveals that the ratio between the needle velocity and the composite velocity brings out to increase the velocity distribution with λ<0. Moreover, the activation energy influences the chemical species to react from the thickness of the concentration layer η=0.6 and the fraction of nanoparticles to the fluid is significantly more away from the needle surface.

MHD FLOW AND HEAT TRANSFER IN A CASSON FLUID OVER A NONLINEARLY STRETCHING SHEET WITH NEWTONIAN HEATING

2018 ◽  
Vol 49 (12) ◽  
pp. 1185-1198 ◽  
Author(s):  
Abid Hussanan ◽  
Mohd Zuki Salleh ◽  
Hamzeh Taha Alkasasbeh ◽  
Ilyas Khan
Keyword(s):  
Heat Transfer ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Casson Fluid ◽  
Newtonian Heating ◽  
Flow And Heat Transfer ◽  
Nonlinearly Stretching Sheet

scholarly journals Heat Transfer Boundary Conditions in the RELAP5-3D Code

2008 ◽  
Author(s):  
Richard A. Riemke ◽  
Cliff B. Davis ◽  
Richard R. Schultz
Keyword(s):  
Heat Transfer ◽  
Boundary Conditions ◽  
Surface Temperature ◽  
Volume Fraction ◽  
Control Variable ◽  
Time Dependent ◽  
Fluid Temperature ◽  
Transfer Coefficients ◽  
Heat Transfer Coefficients ◽  
General Table

The heat transfer boundary conditions used in the RELAP5-3D computer program have evolved over the years. Currently, RELAP5-3D has the following options for the heat transfer boundary conditions: (a) heat transfer correlation package option, (b) non-convective option (from radiation/conduction enclosure model or symmetry/insulated conditions), and (c) other options (setting the surface temperature to a volume fraction averaged fluid temperature of the boundary volume, obtaining the surface temperature from a control variable, obtaining the surface temperature from a time-dependent general table, obtaining the heat flux from a time-dependent general table, or obtaining heat transfer coefficients from either a time- or temperature-dependent general table). These options will be discussed, including the more recent ones.

Computational Study of Streamfunction-Vorticity Formulation of Incompressible Flow and Heat Transfer Problems

2011 ◽  
Vol 52-54 ◽  
pp. 511-516 ◽  
Author(s):  
Arup Kumar Borah
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Boundary Conditions ◽  
Incompressible Flow ◽  
Computational Study ◽  
The Other ◽  
Governing Equations ◽  
Flow And Heat Transfer ◽  
Continuity Constraint ◽  
Transfer Problems

In this paper we have studied the streamfunction-vorticity formulation can be advantageously used to analyse steady as well as unsteady incompressible flow and heat transfer problems, since it allows the elimination of pressure from the governing equations and automatically satisfies the continuity constraint. On the other hand, the specification of boundary conditions for the streamfunction-vorticity is not easy and a poor evaluation of these conditions may lead to serious difficulties in obtaining a converged solution. The main issue addressed in this paper is the specification in the boundary conditions in the context of finite element of discretization, but approach utilized can be easily extended to finite volume computations.

scholarly journals Study on Flow and Heat Transfer Characteristics of Supercritical Kerosene in a Round Tube

2020 ◽  
Vol 316 ◽  
pp. 03003
Author(s):  
Feng Gao ◽  
Qian Zhang ◽  
Hongyu Xiao ◽  
Fengli Chen ◽  
Xuefeng Xia
Keyword(s):  
Heat Transfer ◽  
Surface Temperature ◽  
Inlet Temperature ◽  
Wall Surface ◽  
Heat Transfer Characteristics ◽  
Navier Stokes Equation ◽  
Transfer Characteristics ◽  
Flow And Heat Transfer ◽  
Wall Surface Temperature ◽  
Central Flow

The finite volume discrete solution of the Navier-Stokes equation and the RNG model of the turbulence model are used to numerically simulate the flow and heat transfer characteristics of supercritical kerosene in a circular tube. The results show that as the inlet mass flow increases, the wall surface temperature and the central flow oil temperature gradually decrease, and the pressure loss becomes larger. As the inlet temperature increases, the wall surface temperature and the central flow oil temperature both increase. When the heat flux density is constant, as the pressure increases, the deterioration of heat transfer will be weakened, and increasing the pressure can improve the effect of convection heat transfer.

Solution of Free Vibration Equations of Euler-Bernoulli Cracked Beams by Using Differential Transform Method

2011 ◽  
Vol 110-116 ◽  
pp. 4532-4536 ◽  
Author(s):  
K. Torabi ◽  
J. Nafar Dastgerdi ◽  
S. Marzban
Keyword(s):  
Analytical Solution ◽  
Differential Equations ◽  
Free Vibration ◽  
Boundary Conditions ◽  
Differential Transform Method ◽  
Beam Model ◽  
Cracked Beam ◽  
Transform Method ◽  
Simple Method ◽  
Differential Transform

In this paper, free vibration differential equations of cracked beam are solved by using differential transform method (DTM) that is one of the numerical methods for ordinary and partial differential equations. The Euler–Bernoulli beam model is proposed to study the frequency factors for bending vibration of cracked beam with ant symmetric boundary conditions (as one end is clamped and the other is simply supported). The beam is modeled as two segments connected by a rotational spring located at the cracked section. This model promotes discontinuities in both vertical displacement and rotational due to bending. The differential equations for the free bending vibrations are established and then solved individually for each segment with the corresponding boundary conditions and the appropriated compatibility conditions at the cracked section by using DTM and analytical solution. The results show that DTM provides simple method for solving equations and the results obtained by DTM converge to the analytical solution with much more accurate for both shallow and deep cracks. This study demonstrates that the differential transform is a feasible tool for obtaining the analytical form solution of free vibration differential equation of cracked beam with simple expression.

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