Numerical investigation of double diffusion heat flux model in Williamson nanofluid over an exponentially stretching surface with variable thermal conductivity
“…In addition, , , The , , and stand for the concentration profile, temperature profile, wall temperature, wall concentration, ambient temperature, and ambient concentration respectively. The under-discussion model [ 19 , 37 , 38 ] is illustrated in Fig. 1 Fig.…”
Section: Problem Descriptionmentioning
confidence: 99%
“…Malik et al [ 9 ] examined the MHD flow of THF model across a stretching cylinder numerically. Other research on MHD fluxes include [ [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] , [18] , [19] ].…”
“…In addition, , , The , , and stand for the concentration profile, temperature profile, wall temperature, wall concentration, ambient temperature, and ambient concentration respectively. The under-discussion model [ 19 , 37 , 38 ] is illustrated in Fig. 1 Fig.…”
Section: Problem Descriptionmentioning
confidence: 99%
“…Malik et al [ 9 ] examined the MHD flow of THF model across a stretching cylinder numerically. Other research on MHD fluxes include [ [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] , [18] , [19] ].…”
“…Performing 20 iterations, the results obtained for −( f (0) + λ 2 ( f (0)) 2 ) are displayed in Table 1. Table 1 displays the computed values of the skin friction coefficient compared against the results by Amjad et al [45] for different values of λ, S and M. A good match of the results is observed. The accuracy of the SQLM was validated by a direct comparison with the reported results.…”
Section: Validation Of Resultsmentioning
confidence: 64%
“…To confirm the accuracy of the SQLM used in this study, the values of the skin friction −( f (0) + λ 2 ( f (0)) 2 ) are compared against the MATLAB bvp4c solver results and the homotopy analysis method results obtained by Nadeem and Hussain [40] and Amjad et al [45]. Considering the values G T = G C = 0, Equation (11) reduces to the problem by Amjad et al [45], which is given by:…”
Presented in this current study is the numerical analysis of magnetohydrodynamics Williamson nanofluid flow over an exponentially stretching surface. The most important aspect of the investigation is that the effects of the magnetic field, chemical reaction and thermal radiation in the fluid flow are taken into account. The partial differential equations governing the present Williamson nanofluid flow problem were observed to be highly nonlinear and coupled. Suitable similarity transformations were used to transmute the coupled system of nonlinear partial differential equations governing the fluid flow into a linear system. The linear system was solved numerically using the spectral quasi-linearization method. The MATLAB bvp4c numerical technique and a comparison with existing results for the skin friction coefficient were used to confirm the appropriateness of the method in solving the current problem. The influence of some pertinent physical parameters on the fluid’s velocity, temperature and concentration profiles were displayed graphically. The effects of all the physical parameters on the skin friction coefficient, Nusselt number and Sherwood number were portrayed in a tabular form. It was noted that enhancing the thermal radiation parameter reduces the fluid’s temperature, Nusselt number and the skin friction coefficient, while the Sherwood number is improved.
“…Nadeem et al [ 2 ] examined the heat transfer impacts for magnetized Williamson fluid over an exponentially stretching sheet. Amjad et al [ 3 ] studied the MHD Williamson nanofluid with the Cattaneo–Christov (CC) heat flux model across an exponential stretching sheet. As a result of its usefulness, several researchers [ 4 , 5 , 6 , 7 , 8 , 9 , 10 ] have used the Williamson model to show the true behavior of fluids throughout the previous decade.…”
This research work describes and investigates Williamson nanofluid flow over an exponentially stretching permeable vertical plate with temperature-dependent thermal conductivity and viscosity. The governing non-linear partial differential equations (PDEs) are metamorphosed into coupled non-linear ordinary differential equations (ODEs) by using similarity transformation. The succeeding equations were numerically solved using MATLAB function bvp4c for various values of parameters. For velocity, temperature, concentration, the skin friction coefficient, and the local Nusselt number, data are presented in the form of graphs and tables. It is noted that for increasing values of magnetic parameter , Williamson parameter and viscosity parameter , the boundary layer thickness of the velocity profile decreases, while it increases for the temperature profile. The findings of the present work are validated through the published results.
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