致命错误：在非对象上调用成员函数fetch_array（）

How do I change this code so I don't receive the above error?

Here is the full error:

Fatal error: Call to a member function fetch_array() on a non-object in /home/bestc165/public_html/opinuo.com/stream.php on line 10

<?php 
$link = mysqli_connect('localhost', 'bestc165_opinuo', 'opinuo');

$sql_string = 'SELECT * FROM debates LIMIT 2  order by ts ';

$result = mysqli_query($link,$sql_string );

while($row = $result->fetch_array())
{
    $rows[] = $row;
}

foreach($rows as $row)
{
    $name =  $row['name'];
    $text =  $row['text'];
?>

<h2><?php echo $name;?></h2>
<p><?php echo $text;?></p>

<?php

}

?>

LIMIT comes after ORDER BY

Change your query to

$sql_string = 'SELECT * FROM debates ORDER BY ts LIMIT 2';

mysqli_query returns FALSE on failure so your $result is not an object but a boolean thus your error.

Update

As mentioned in the comments, make sure to pass the database name in the connection

$link = mysqli_connect('host', 'username', 'password', 'databaseName');

Or use mysqli_select_db

mysqli_select_db($link, "databaseName");

Use this:

//Other code here

$result = mysqli_query($link, $sql_string );

while($row = mysqli_fetch_assoc($result))
{

?>

    <h2><?php echo $row['name'];?></h2>
    <p><?php echo $row['text'];?></p>

<?php

}

?>

No need to use extra loop to show the output.