Reacting System of Boundary Layer Flow of CuO-Oil-Based Nanofluid with Heat Generation through a Vertical Permeable Surface

Table of Contents

1. INTRODUCTION

1.1 Background of the Study

1.2 Statement of the Problem

1.3 Justification/ Motivation

1.4 Aim and Objectives

1.4.1 Aim

1.4.2 Objectives

1.5 Scope of the study

2. LITERATURE REVIEW

2.1 Definition of terms

2.1.1 Heat

2.1.2 Heat Transfer

2.2 Metal and Their Properties

2.3 Lubrication

2.4 Porous Channel

2.5 Nanofluids

2.6 Differential Equation

2.7 Initial and boundary value problems

2.8 Steady and unsteady flow

2.9 Governing Equation of Fluid

2.10 Review of Some Works on Porous Media

2.11 Review of Some Works on Chemically Reacting Systems

2.12 Review of Some Works on Nanofluids

2.13 Review of Thermophoresis and Brownian motion

2.14 Review of Some Works on the Density

2.15 Review of Some Works on the Specific heat capacity

3. METHODOLOGY/MATHEMATICAL FORMULATION

3.1 Research Methodology

3.2 Governing Equation

3.3 Case 1: Temperature dependent thermo physical properties

3.4 Case 2: Concentration of particles dependent thermo physical properties

3.5 Numerical procedure

3.6 Shooting method of boundary value problem

3.7 The Runge-Kutta

4. RESULTS ANS DISCUSSION

4.1 Numerical Results

4.1.1 Results for temperature dependent Thermo-physical properties (case 1) on Nusselt number, Sherwood and skin friction

4.1.2 Discussion of Results of case 1

4.1.3 The Results of Concentration of Nanoparticles dependent thermo-physical properties (case 2) on Skin Friction, Nusselt Number and Sherwood Numberat the Plate

4.2 Discussions of Results

5. CONCLUSION, RECOMMENDATIONS AND CONTRIBUTIONS TO KNOWLEDGE

5.1 Conclusion

5.2 Recommendations

5.3 Contributions to Knowledge

Research Objectives and Topics

This thesis aims to study the reacting system of boundary layer flow of CuO-oil-based nanofluid with heat generation through a vertical permeable surface, focusing on the influence of thermo-physical properties under temperature-dependent and concentration-dependent conditions.

• Mathematical modeling of steady, two-dimensional nanofluid flow.
• Transformation of partial differential equations into nonlinear ordinary differential equations.
• Numerical analysis using the fourth-order Runge-Kutta method and shooting technique.
• Investigation of thermo-physical properties (viscosity, density, specific heat, thermal conductivity).
• Evaluation of skin friction, Nusselt number, and Sherwood number.

Excerpt from the Book

Summary of Chapters

CHAPTER ONE INTRODUCTION: Provides the background and objectives of investigating CuO-oil-based nanofluid flow over a vertical permeable surface.

CHAPTER TWO LITERATURE REVIEW: Examines fundamental concepts in fluid dynamics, heat transfer, and prior research studies related to nanofluids and boundary layer flows.

CHAPTER THREE METHODOLOGY/MATHEMATICAL FORMULATION: Details the mathematical modeling process, including governing equations and the numerical procedure used for solving the system.

CHAPTER FOUR RESULTS ANS DISCUSSION: Presents numerical findings and graphs regarding velocity, temperature, and concentration profiles under various physical parameters.

CHAPTER FIVE CONCLUSION, RECOMMENDATIONS AND CONTRIBUTIONS TO KNOWLEDGE: Summarizes the key findings of the study and provides recommendations for practical industrial applications.

Key Words

Nanofluid, CuO-Oil, Boundary layer flow, Heat transfer, Heat generation, Numerical method, Runge-Kutta, Viscosity, Thermal conductivity, Specific heat, Skin friction, Nusselt number, Sherwood number, Permeable surface, Concentration

Frequently Asked Questions

What is the primary goal of this research?

The thesis aims to investigate the behavior of CuO-oil-based nanofluid boundary layer flow over a vertical permeable surface under the influence of heat generation.

What are the main thematic areas covered in this work?

The study covers thermodynamics, fluid mechanics, nanotechnology applications in cooling systems, and numerical analysis of nonlinear differential equations.

Which mathematical method is utilized in the study?

The study uses mathematical modeling to derive partial differential equations, which are reduced to nonlinear ordinary differential equations and solved using the fourth-order Runge-Kutta method alongside a shooting technique within the MAPLE 18 software package.

What specific nanofluid combinations were simulated?

The study considers copper oxide (CuO) nanoparticles dispersed within an engine oil base fluid.

What is the significance of the thermo-physical properties mentioned?

Parameters like thermal conductivity, specific heat, and density directly impact heat transfer efficiency and flow behavior, which are critical for engine cooling and performance.

What are the key findings regarding skin friction?

The results show that skin friction is significantly influenced by physical parameters such as density, suction, and heat generation, with specific trends identified for both temperature-dependent and concentration-dependent property cases.

How is the "case 1" condition defined?

In Case 1, the fluid properties (viscosity, thermal conductivity, density, and specific heat) are assumed to be dependent on the fluid temperature.

How is the "case 2" condition defined?

In Case 2, these same thermo-physical properties are assumed to depend on the concentration of the dispersed nanoparticles.