<?php
$metacatname = get_post_meta( $post->ID, 'related blog articles', true );
if(!(empty( $metacatname ))):
$my_query = new WP_Query( array(
'category_name' => $meta_cat_name,
'posts_per_page' => 5,
) );
if ( $my_query->have_posts() ):
while ( $my_query->have_posts() ) : $my_query->the_post(); ?>
<a href="https://wordpress.stackexchange.com/questions/29266/<?php the_permalink() ?>" rel="bookmark" title="<?php the_title(); ?>"><?php the_title(); ?></a>
<?php
endwhile;
endif;
endif;
wp_reset_query();
?>