Temperature distribution in the a single slope solar still for solar distillation technology is performed using numerical approach to study the phenomenon of natural convection. The governing equations of the problem are stated in a primitive variale, involve the use of radial basis function (RBF) method to solve the continuity, momentum, and energy equations. The meshless RBF method and is used here for discretization and solving momentum and energy equations. Effect of geometry for slope angles θ varied from 0 to 20° is studied. Comparison of the average Nusselt number at the bottom wall obtained by the present numerical method and the data available in the literature shows the suitable accuracy of the present study. Temperature distribution along the length of the geometry is provided.

1.
R.
Alvarado-Juarez
,
G.
Alvarez
,
J.
Xaman
,
Hernandez-Lopez
,
Numerical study of conjugate heat andmass transfer in a solar still device
,
Desalination
,
325
:
84
94
. (
2013
).
2.
M.
Keshtkar
,
M.
Eslami
,
Jafarpur
.
A novel procedure for transient CFD modeling of basin solar stills: Coupling of species and energy equations
,
Desalination
,
481
,
114350
, (
2020
).
3.
H.
Boutiere
,
1971
,
Culture en zone aride et serres-distilateurs solaires
. In:
COMPLES meeting
,
Athens
.
4.
E.
Edalatpour
,
A.
Kianifar
,
S.
Ghiami
,
Effect of blade installation on heat transfer and fluid flow within a single slope solar still
,
International Communications in Heat and Mass Transfer
,
66
,
63
70
. (
2015
).
5.
R.
Chouikh
,
L.
Ben Snoussi
,
A.
Guizani
,
Numerical study of the heat and mass transfer in inclined glazing cavity: Application to a solar distillation cell
,
Renewable Energy
,
32
,
1511
1524
. (
2007
).
6.
L.P.
Quere
, 1991.
Accurate solutions to the square thermally driven cavity at high Rayleigh number
,
Computers Fluids.
Vol.
20
, pp.
29
41
, (
1991
).
7.
M.
Najafi
,
V.
Enjilela
,
Natural convection heat transfer at high Rayleigh numbers-Extended meshless local Petrov-
Galerkin (MLPG) primitive variable method
,
44
,
170
184
, (
2014
).
8.
E.P.
Budiana
,
Pranowo
,
Indarto
,
Deendarlianto
,
Meshless numerical model based on radial basis function (RBF) Method to simulate the Rayleigh–Taylor instability (RTI
),
Computers and Fluids
,
201
,
104472
. (
2020
).
9.
E.
Natarajan
,
T.
Basak
,
S.
Roy
,
Natural convection flows in a trapezoidal enclosure with uniform and non-uniform heating of bottom wall
,
International Journal of Heat and Mass Transfer
,
51
,
747
756
. (
2007
).
10.
S.A.
Sarra
,
J.E.
Kansa
,
Multiquadric Radial Basis Function Approximation Methods for the Numerical Solution of Partial Differential Equations
.
University of California
,
Davis
, (
2009
).
11.
G.E.
Fasshauer
,
Meshfree approximation methods with MATLAB
.
yUSA
:
World Scientific
. (
2007
).
12.
D.W.
Pepper
,
X.
Wang
,
Carrington
DB
,
Ameshless method for modeling convective heatt ransfer
,
J HeatTransfer
,
135011003-1-011003-9
. (
2013
).
13.
S.W.
Lam
,
R.
Gani
,
J.G.
Symons
,
Experimental and Numerical Studies of Natural Convection in Trapezoidal Cavities
,
Journal of Heat Transfer
,
111
,
372
377
. (
1989
).
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