Boundary Layer Flow and Cattaneo-Christov Heat Flux of a Nonlinear Stretching Sheet with a Suspended CNT

Abstract

Background: In this article the Boundary layer flow and Cattaneo-Christov Heat flux of nonlinear stretching sheet in a suspended carbon nanotube is analyzed. Methods: The governing classical PDE’s are changing into ODE’s using the similarity transformation method. This boundary value problem is solved by using numerical method known as Runge-Kutta fourth order method with effective shooting technique. Presently in this analysis , the flow, velocity and heat transfer characteristics for different heat transferphysical parameters such as nanofluid (ϕ), suction parameter (N>0), heat flux parameter (β) and Prandtl number (Pr) are studied for two cases i.e., single Wall Carbon Nanotube (SWCNT) and Multiwall Carbon Nanotube (MWCNT) respectively. Results: Our results are in good agreement within a limiting condition comparing with previously published results. This study signifies that practical applications in science and engineering fields for example in functional ceramics, nano metals for energy and environmental applications. Conclusion: A theoretical study of boundary layer flow and Catteneo-Christove heat flux is carried out. In this study some of the important findings are collected as follows: 1. The result of nanoparticle volume fraction f and suction parameter N shows that, as increasing f it increases the flow, velocity and temperature while as increasing N which increases the flow and temperature but decreases the velocity at boundary layer. 2. A comparison result is plotted which is an excellent agreement with previously published results. 3. As increasing the Prandtl number and relaxation time of heat flux parameter in the thermal boundary layer which decreases the temperature of thermal boundary layer. 4. Effect of relaxation time of heat flux is same for both local skin friction and local nusselt number i.e. increasing.

Flow due to a porous stretching/shrinking sheet with thermal radiation and mass transpiration

“…The hypothesis is that temperature modification is conveyed as a linear purpose in the fourth power of temperature. Mahabaleshwar et al [19][20][21][22] Nandeppanavar et al [23][24][25][26][27] existing Taylor's series extension of the duration ∞ T with the value T 4 as follows: (10)…”

“…The hypothesis is that temperature modification is conveyed as a linear purpose in the fourth power of temperature. Mahabaleshwar et al 19–22 Nandeppanavar et al 23–27 existing Taylor's series extension of the duration $${T}_{\infty }$$ with the value $${T}^{4}$$ as follows: $$${T}^{4}={T}_{\infty }^{4}+4{T}_{\infty }^{4}(T-{T}_{\infty })\,+6{T}_{\infty }^{2}{(T-{T}_{\infty })}^{2}+\,\text{\unicode{x02026}}.$$$…”

Mathematical analysis of radius and length of CNTs on flow of nanofluid over surface with variable viscosity and joule heating

“…The RBF approach was used by Falah et al [ 13 ] to investigate how nanofluid flows in channels. The Christof heat flux of stretching sheets with suspended CNT and MHD flow was examined by Shakuntala et al [ 14 , 15 ]. Akbar et al [ 16 ] used a homogeneous model to look at the flow of carbon nanotubes at the stagnation point toward a stretching sheet.…”

MHD Casson nanofluid flow over a stretching surface with melting heat transfer condition

“…Recently Sulochana and Poornima 29 explored Casson fluid flow over a vertical plate with a detailed analysis emphasizing Newtonian and non‐Newtonian models. Shakuntala and Nandeppanavar 30 examined boundary layer flow in stretching surfaces with a non‐Fourier heat flux model. Most recently the role of a variable magnetic field is investigated by Senapati et al 31 considering the Casson model to explain blood flow with a permeable nonlinear stretching sheet.…”